Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBD. If m∠ABC = 5/2x + 18) and m∠CBD = (4x), what is m∠ABD?

m∠ABD = 96

Step-by-step explanation:

Given

m∠ABC = 5/2x + 18

m∠CBD = 4x

Required

Determine m∠ABD

From the given parameters, we understand that:

∠ABC ≅ ∠CBD

This implies that:

Collect Like Terms

Take LCM

Cross Multiply

Divide through by -3

m∠ABD can be calculated using:

m∠ABD = m∠ABC + m∠CBD

Substitute 12 for x

Hence;

m∠ABD = 96

the solution is 12x-6y