Question

∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10 .

What is m∠D ?

Answer 1

The measure of angle D is 62

Answer 2

∠D = 14°

Explanation:

Vertical angles are congruent, hence

2x - 10 = - x + 26 ( add x to both sides )

3x - 10 = 26 ( add 10 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Hence

∠D = 2x - 10 = (2 × 12) - 10 = 24 - 10 = 14°