Question

3.) What is the measure of angle a in the triangle below?
a
50°

Answer 1

The answer is 40 degrees
Opposite angles are congruent and equal in measure so the bottom angle is 50 and their is a right angle that is90. Sum of all three angles is 180.
50 + 90 + a = 180 so
It is 40.

Answer 2

40°

Explanation:

∠ACB = ∠DCE ( vertically opposite angle )

Now...

a + 90° + 50° = 180° ( the sum of interior angle of triangle is 180° )

a + 140° = 180°

a = 180° - 140°

a = 40°

hence the value of a is 40°