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Mathematics

Grade-8

Easy

Question

If the measure of $angle b$ is 54^o, find the measure of d.

14^o
16^o
15^o
18^o

hint Hint:

We know that the sum of interior angles of a triangle is 180.

We know the measure of the exterior angle of a triangle is equal to the sum of the measures of its
remote interior angles

The correct answer is: 18^o

Given: The triangle is a right-angled triangle.
So ,angle a = 90
And angle b = 54 [ Given]
We know that the sum of interior angles of a triangle is 180.
angle a+ angle b + angle c = 180
90 + 54 + angle c = 180
144 + angle c = 180
angle c = 180 - 144
angle c = 36
So, the measure of angle c is 36.
We know the measure of the exterior angle of a triangle is equal to the sum of the measures of its
remote interior angles.
So, angle d = angle b + angle c
= 54- 36
= 18
So, the measure of angle d is 18

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