Question

What is the value of x and the measure of

Answer 1

x = 16

m∠BDC = 51°

Explanation:

m∠ADC = 74°

m∠ADC = (x + 7)° + (2x + 19)°

Then:

(x + 7)° + (2x + 19)° = 74°

x + 2x + 7 + 19 = 74

3x + 26 = 74

3x = 74 - 26

3x = 48

x = 48/3

x = 16

And, the measure of m∠BDC:

m∠BDC = (2x + 19)°

m∠BDC = 2*16 + 19

m∠BDC = 51°