Maths-
General
Easy
Question
Observe the given diagram and answer the following questions.
I) m∠BAE = ?
Hint:
-Find angle BEA by finding DEC .we can Find DEC by using sum of angles.
The correct answer is: ∠BAE = 65°
In triangle ABE and CDE
AE = EC (given)
∠B = ∠D (given)
∠AEB = ∠CED (vertically opposite angles)
By ASA rule,
We get ABE ≅ CDE
By congruence ∠EAB = ∠ECD (corresponding angles of congruent triangles are equal).
∠EAB = 65°( from diagram)
By ASA rule,
Related Questions to study
Maths-
△ ABC ≅△ GHI
i) △ CAB ≅
△ ABC ≅△ GHI
i) △ CAB ≅
Maths-General
Maths-
Water flows through a cylindrical pipe of 7 cm internal diameter at 5 meters per second. Calculate the i) volume in litres of water discharged by the pipe in one minute and ii) the time in minutes, the pipe would take to fill an empty rectangular tank of dimensions 4m x 3m x 2.31m
Water flows through a cylindrical pipe of 7 cm internal diameter at 5 meters per second. Calculate the i) volume in litres of water discharged by the pipe in one minute and ii) the time in minutes, the pipe would take to fill an empty rectangular tank of dimensions 4m x 3m x 2.31m
Maths-General
Maths-
Water flows through a cylindrical pipe of 7 cm internal diameter at 5 meters per second. Calculate the i) volume in litres of water discharged by the pipe in one minute and ii) the time in minutes, the pipe would take to fill an empty rectangular tank of dimensions 4m x 3m x 2.31m
Water flows through a cylindrical pipe of 7 cm internal diameter at 5 meters per second. Calculate the i) volume in litres of water discharged by the pipe in one minute and ii) the time in minutes, the pipe would take to fill an empty rectangular tank of dimensions 4m x 3m x 2.31m
Maths-General
Maths-
You can rent a bicycle for $12 per hour, or buy a new one for $99. How many hours do you need to ride for the cost of buying the bicycle to be cheaper than renting it?
You can rent a bicycle for $12 per hour, or buy a new one for $99. How many hours do you need to ride for the cost of buying the bicycle to be cheaper than renting it?
Maths-General
Maths-
You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?
You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?
Maths-General
Maths-
A mango candy costs $5 and a strawberry candy costs $3. Alex wants to buy both types of candies and he has $40 with him. Write an equation in standard form Ax + By = C that models this situation. What do the values of A, B, and C mean in this situation?
A mango candy costs $5 and a strawberry candy costs $3. Alex wants to buy both types of candies and he has $40 with him. Write an equation in standard form Ax + By = C that models this situation. What do the values of A, B, and C mean in this situation?
Maths-General
Maths-
A certain population of bacteria had an initial population of 1500. It then started growing at a rate of 2000 per day. Write the equation to model this situation. What are the slope and y-intercept? Explain.
A certain population of bacteria had an initial population of 1500. It then started growing at a rate of 2000 per day. Write the equation to model this situation. What are the slope and y-intercept? Explain.
Maths-General
Maths-
The ratio of base to the height of a triangle is 16: 10 and its area is 80 m². Find the height and base of such a triangle.
The ratio of base to the height of a triangle is 16: 10 and its area is 80 m². Find the height and base of such a triangle.
Maths-General
Maths-
If the perimeter of an equilateral triangle is 420 units. find half of its area.
If the perimeter of an equilateral triangle is 420 units. find half of its area.
Maths-General
Maths-
The base of a triangle is four times its height. What is the area of the triangle?
The base of a triangle is four times its height. What is the area of the triangle?
Maths-General
Maths-
If the perimeter of an equilateral triangle is 342 units. Then find its area.
If the perimeter of an equilateral triangle is 342 units. Then find its area.
Maths-General
Maths-
A star is made up of 4 equilateral triangles and a square. If the sides of the triangles are 8 units, what is the surface area of the star ?
A star is made up of 4 equilateral triangles and a square. If the sides of the triangles are 8 units, what is the surface area of the star ?
Maths-General
Maths-
If the side AC of a given triangle is 18 units and the height of the triangle is 10 units, what is the area of triangle ABC ?
If the side AC of a given triangle is 18 units and the height of the triangle is 10 units, what is the area of triangle ABC ?
Maths-General
Maths-
A triangle has an area of 90 𝑚2 and a base of 12 m, find the height of such a triangle?
A triangle has an area of 90 𝑚2 and a base of 12 m, find the height of such a triangle?
Maths-General
Maths-
If the height to base ratio of a triangle ABC is 3:4 and the area is 864 square units. Determine the height and base of this triangle.
If the height to base ratio of a triangle ABC is 3:4 and the area is 864 square units. Determine the height and base of this triangle.
Maths-General