The value of m∠ABD = 88º
The value of m∠CBD = 23º
Given
m∠ABC = 111∘
m∠ABD = (-10x+58)∘
m∠CBD = (6x+41)∘
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
Complete question:
Find m∠ABD and m∠CBD given m∠ABC = 111∘
The Equations are (-10x+58)∘ and (6x+41∘)