Question

find the measure of angle cbd. * 1 point your answer

Explanation:

Step1: Recall linear - angle property

A straight - line forms an angle of 180°. So, ∠ABD = 180°.

Step2: Set up an equation for ∠CBD

We know that ∠ABC+∠CBD = ∠ABD. Given ∠ABC = 114°, and ∠ABD = 180°. Let ∠CBD=x. Then 114°+x = 180°.

Step3: Solve for ∠CBD

Subtract 114° from both sides of the equation: x=180° - 114°.
x = 66°.

Answer:

66°