Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade-8

Easy

Question

Find the measures of unknown angles in the given figure.

$∠ 1 = 90 ° and ∠ 2 = 90 °$
$∠ 1 = 120 ° and ∠ 2 = 60 °$
$∠ 1 = 90 ° and ∠ 2 = 45 °$
$∠ 1 = 100 ° and ∠ 2 = 55 °$

hint Hint:

We know the measure of the exterior angle is equal to the sum of remote interior angles.

The correct answer is: $angle 1 equals 100 degree text and end text angle 2 equals 55 degree$

In the bigger triangle, 120o is the exterior angle and angle 1 and 20 are remote interior angles.
We know the measure of the exterior angle is equal to the sum of remote interior angles.
So,120=angle 1+20
angle 1=120-20
angle 1=100
Now, for the smaller triangle, angle 1 is the exterior angle
angle 1=angle 2+45
angle 2=100-45
angle 2=55
So, the measure of angle 1 = 100 and angle 2 = 55

Related Questions to study

Find the measure of all the angles of the triangle.

Find the measure of all the angles of the triangle.

MathematicsGrade-8

If $C D ‖ B A$ , find the measure of angles 1, 2, and 3 and name the triangle based on its angles.

If $C D ‖ B A$ , find the measure of angles 1, 2, and 3 and name the triangle based on its angles.

MathematicsGrade-8

The measure of angles m, n are __ and _.

The measure of angles m, n are __ and _.

MathematicsGrade-8

parallel

Find the measure of angle p in the given figure.

Find the measure of angle p in the given figure.

MathematicsGrade-8

What must be the value of x if $increment A B C$ is a right - angled at A?

What must be the value of x if $increment A B C$ is a right - angled at A?

MathematicsGrade-8

The measure of the exterior angle of a triangle is 107^o. If one of the remote interior angles is 31^o, find the measure of the other interior angle.

The measure of the exterior angle of a triangle is 107^o. If one of the remote interior angles is 31^o, find the measure of the other interior angle.

MathematicsGrade-8

parallel

$text If end text l ‖ m comma text then end text angle b text and end text angle f text are end text$ ________________.

$text If end text l ‖ m comma text then end text angle b text and end text angle f text are end text$ ________________.

MathematicsGrade-8

Find the measure of the missing angle x of the triangle.

Find the measure of the missing angle x of the triangle.

MathematicsGrade-8

Find the measure of the unknown angle in the given triangle.

Find the measure of the unknown angle in the given triangle.

MathematicsGrade-8

parallel

Find the measure of the angle d.

Find the measure of the angle d.

MathematicsGrade-8

In the given figure, $angle d$ is the sum of _____________

In the given figure, $angle d$ is the sum of _____________

MathematicsGrade-8

The measures of two angles of a triangle are 54^o and 32^o, find the third angle.
1060189

The measures of two angles of a triangle are 54^o and 32^o, find the third angle.
1060189

MathematicsGrade-8

parallel

Can a triangle have interior angle measures as 30^o, 45^o, and 90^o ?

Can a triangle have interior angle measures as 30^o, 45^o, and 90^o ?

MathematicsGrade-8

Can a triangle have the sides as 3 cm, 4 cm, and 6 cm?

Can a triangle have the sides as 3 cm, 4 cm, and 6 cm?

MathematicsGrade-8

Define the measures of angles opposite to equal sides in a triangle?

Define the measures of angles opposite to equal sides in a triangle?

MathematicsGrade-8

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.