Answer:
m∠ABD = 45.2
m∠CBD = 44.6
m∠ABC = 90
Step-by-step explanation:
to find the measures of all angles we first need to find the value of x
(6x + 14) + (3x + 29) = 90 ( it is a right angle and BD bisect ∠ABC
6x + 3x + 29 + 14 = 90
9x + 43 = 90
Transpose
9x = 90 - 43
9x = 47
x = 47/9
x = 5.2 (approx.)
now put the value of 5.3 instead of x
(6x + 14)
= ( 6 × 5.2 + 14)
= 45.2
(3x + 29)
= (3 × 5.2 + 29)
= 44.6
m∠ABD = 45.2
m∠CBD = 44.6
m∠ABC = 90
