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?

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? class=

Answer :

Answer:

x = 35, ∠ BDE = 130°

Step-by-step 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°

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