Question

NKST G04.02 - Angle Bisectors.pdf K Abrir con Annotate with Kami Given BD is an angle bisector. Find x and the measure of the angle. C 7. D 9. 11. (x - 2990 25 54° A B B x = m2 ABC = m2 ABD = m2 CBD = 13. D 15. 17. 35 B (2x + 15) (3x + 36" (10x + 4)" (130+ 2.500 B A 5 X = m ABC = m2 ABD = m ABC = Panin

Answer 1

Due to BD is an angle bisector, you have that ∠ADB and ∠DBC are equal.

Then, you have:

7).

m∠ADB = m∠DBC replace by the expressions given in the figure

54 = x - 29 add 29 both sides

54 + 29 = x

83 = x

x = 83

Hence, x is x = 83

9).

3x + 4 = 25 subtract 4 both sides

3x = 25 - 4

3x = 21 divide by 3 both sides

x = 21/3

x = 7

Hence, x is x = 7