Question

A carpenter is building a ramp, as shown in the diagram.

What is mt?
A. 28º
B. 62º
C. 90º
D. 152º

Answer 1

B. 62°

Explanation:

According to the Supplementary Angles Theorem, in this case, ∠s and 152° form a straight angle, so you use the Supplementary Angles Theorem:

-152° + 180 = 28°; 28° = m∠s

Then, use the Triangular Interior Angles Theorem to find the m∠t:

28° + 90° = 118°

↑

∠s

-118° + 180° = 62°; 62° = m∠t

I am joyous to assist you anytime.

Answer 2

Answer: Option 'b' is correct.

Explanation:

Since we have given that

Measure of exterior angle = 152°

and measure of one opposite interior angle = 90°

Measure of another opposite interior angle be 't'.

As we know that

Sum of interior angle is equal to exterior angle.

`90^\circ+t=152^\circ\\\\t=152^\circ-90^\circ\\\\t=62^\circ`

Hence, the measure of t is 62°.

Therefore, Option 'b' is correct.