PLEASE FIND THE ATTACHED PHOTOGRAPH FOR THE FIGURE.
SOLUTION:
- Given, BD bisects Angle ABC.
- So, Angle ABD = Angle CBD
- Measure of Angle ABD = 9x-7
- Measure of Angle CBD = 6x+2
- Therefore,
Angle ABD = Angle CBD
or, 9x-7 = 6x+2
or, 9x-6x = 2+7
or, 3x = 9
or, x = 9 ÷ 3
or, x = 3
- So, x = 3
- Measure of Angle ABC
= Measure of Angle ABD + Measure of Angle CBD
= [(9x-7)+(6x+2)]°
= [(9×3-7)+(6×3+2)]°
= [27-7+18+2]°
= 40°
ANSWER:
x = 3
Measure of Angle ABC = 40°.
Hope it helps you.
