Maths-

General

Easy

Question

Use the given information and the diagram to prove the statement.
Given: 𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180° and 𝑚∠𝑃𝑀𝐶 = 150°
Prove: 𝑚∠𝑃𝑀𝐷 = 30°

hint Hint:

Use the information given.

The correct answer is:

SOL – It is given that 𝑚∠𝑃𝑀𝐶 = 150° ---- (1)
𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180°
150° + 𝑚∠𝑃𝑀𝐷 = 180° ( - From (1) )
𝑚∠𝑃𝑀𝐷 = 180° - 150°
= 30°
Hence Proved.

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Can’t find what you’re looking for?

Use the given information and the diagram to prove the statement.
Given: 𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180° and 𝑚∠𝑃𝑀𝐶 = 150°
Prove: 𝑚∠𝑃𝑀𝐷 = 30°

Use the information given.

The correct answer is:

SOL – It is given that 𝑚∠𝑃𝑀𝐶 = 150° ---- (1)
𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180°
150° + 𝑚∠𝑃𝑀𝐷 = 180° ( - From (1) )
𝑚∠𝑃𝑀𝐷 = 180° - 150°
= 30°
Hence Proved.

Related Questions to study

Solve the system of equations by elimination :
3X + 2Y = 8
X + 4Y = - 4

Solve the system of equations by elimination :
3X + 2Y = 8
X + 4Y = - 4

Give a two-column proof.
Given:

Prove: PR = 25 in

Give a two-column proof.
Given:

Prove: PR = 25 in

Use Substitution to solve each system of equations :
- 3X - Y = 7
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- 3X - Y = 7
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Give a two-column proof.

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Give a two-column proof.

Compare 𝑚∠𝑃𝑂𝑄𝑎𝑛𝑑∠𝑆𝑂𝑇.

Compare 𝑚∠𝑃𝑂𝑄𝑎𝑛𝑑∠𝑆𝑂𝑇.

Which postulate will you use to prove that PR = PQ + QR?

Which postulate will you use to prove that PR = PQ + QR?

Solve the system of equations by elimination :
X - 2Y = - 2
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Solve the system of equations by elimination :
X - 2Y = - 2
3X + 2Y = 30

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Y = 4X+2
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Y = 4X+2
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If lines l and m are parallel, find the value of x.

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Prove that: PR = PQ + QR
Give a two-column proof

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Give a two-column proof

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X - Y = 4
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X - Y = 4
2X + Y = 5

Use Substitution to solve each system of equations :
X = -Y + 3
3X - 2Y = -1

Use Substitution to solve each system of equations :
X = -Y + 3
3X - 2Y = -1

Express all the angles in terms of x.

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Use the given information and the diagram to prove the statement.Given: 𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180° and 𝑚∠𝑃𝑀𝐶 = 150°Prove: 𝑚∠𝑃𝑀𝐷 = 30°

Use the information given.

The correct answer is:

SOL – It is given that 𝑚∠𝑃𝑀𝐶 = 150° ---- (1)𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180°150° + 𝑚∠𝑃𝑀𝐷 = 180° ( - From (1) )𝑚∠𝑃𝑀𝐷 = 180° - 150°= 30°Hence Proved.

Related Questions to study

Solve the system of equations by elimination :3X + 2Y = 8X + 4Y = - 4

Solve the system of equations by elimination :3X + 2Y = 8X + 4Y = - 4

Give a two-column proof.Given:Prove: PR = 25 in

Give a two-column proof.Given:Prove: PR = 25 in

Use Substitution to solve each system of equations :- 3X - Y = 7X + 2Y = 6

Use Substitution to solve each system of equations :- 3X - Y = 7X + 2Y = 6

If Q is the midpoint of PR, prove that PR = 2 PQ.Give a two-column proof.

If Q is the midpoint of PR, prove that PR = 2 PQ.Give a two-column proof.

Compare 𝑚∠𝑃𝑂𝑄𝑎𝑛𝑑∠𝑆𝑂𝑇.

Compare 𝑚∠𝑃𝑂𝑄𝑎𝑛𝑑∠𝑆𝑂𝑇.

Which postulate will you use to prove that PR = PQ + QR?

Which postulate will you use to prove that PR = PQ + QR?

Solve the system of equations by elimination :X - 2Y = - 23X + 2Y = 30

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Solve the following by using the method of substitutionY = 4X+2Y = X+8

Solve the following by using the method of substitutionY = 4X+2Y = X+8

If lines l and m are parallel, find the value of x.

If lines l and m are parallel, find the value of x.

Prove that: PR = PQ + QRGive a two-column proof

Prove that: PR = PQ + QRGive a two-column proof

Find x and hence find 𝑚∠𝐶𝑂𝐷

Find x and hence find 𝑚∠𝐶𝑂𝐷

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Use Substitution to solve each system of equations :X = -Y + 33X - 2Y = -1

Use Substitution to solve each system of equations :X = -Y + 33X - 2Y = -1

Express all the angles in terms of x.

Use the given information and the diagram to prove the statement.
Given: 𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180° and 𝑚∠𝑃𝑀𝐶 = 150°
Prove: 𝑚∠𝑃𝑀𝐷 = 30°

SOL – It is given that 𝑚∠𝑃𝑀𝐶 = 150° ---- (1)
𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180°
150° + 𝑚∠𝑃𝑀𝐷 = 180° ( - From (1) )
𝑚∠𝑃𝑀𝐷 = 180° - 150°
= 30°
Hence Proved.

Solve the system of equations by elimination :
3X + 2Y = 8
X + 4Y = - 4

Solve the system of equations by elimination :
3X + 2Y = 8
X + 4Y = - 4

Give a two-column proof.
Given:

Prove: PR = 25 in

Give a two-column proof.
Given:

Prove: PR = 25 in

Use Substitution to solve each system of equations :
- 3X - Y = 7
X + 2Y = 6

Use Substitution to solve each system of equations :
- 3X - Y = 7
X + 2Y = 6

If Q is the midpoint of PR, prove that PR = 2 PQ.
Give a two-column proof.

If Q is the midpoint of PR, prove that PR = 2 PQ.
Give a two-column proof.

Solve the system of equations by elimination :
X - 2Y = - 2
3X + 2Y = 30

Solve the system of equations by elimination :
X - 2Y = - 2
3X + 2Y = 30

Solve the following by using the method of substitution
Y = 4X+2
Y = X+8

Solve the following by using the method of substitution
Y = 4X+2
Y = X+8

Prove that: PR = PQ + QR
Give a two-column proof

Prove that: PR = PQ + QR
Give a two-column proof

Solve the system of equations by elimination :
X - Y = 4
2X + Y = 5

Solve the system of equations by elimination :
X - Y = 4
2X + Y = 5

Use Substitution to solve each system of equations :
X = -Y + 3
3X - 2Y = -1

Use Substitution to solve each system of equations :
X = -Y + 3
3X - 2Y = -1