Question

Use the picture below to answer questions 14a and 14b

14a) What is the value of x?

14b) What is the measure, in degrees, of angle BDE?

Answer 1

x = 35, ∠ BDE = 130°

Explanation:

(4x - 10) and (x + 95) are corresponding angles and are congruent, then

4x - 10 = x + 95 ( subtract x from both sides )

3x - 10 = 95 ( add 10 to both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°