Question

Find m∠ABC = 7x - 4 and m∠BDC = 9x - 1 and and m∠ABC = 107°, find x, m∠ABC and m∠BDC.

Answer 1

m<BDC = 62 degrees

Explanation:

Using the expression;

<ABC = <ABD + <DBC

107 = 7x-4 + 9x - 1

107 = 16x-5

16x = 107 + 5

16x = 112

x = 112/16

x = 7

Get m<DBC

m<BDC = 9x - 1

m<BDC = 9(7)-1

m<BDC = 63 - 1

m<BDC = 62 degrees