Question

1. examine the given information in the diagram. use the information to answer the question.

which of the following is the measure of ∠bcd?
a. 22°
b. 72°
c. 160°
d. 148°

Explanation:

Step1: Use exterior angle theorem

$\angle BCD = \angle ABC + \angle BAC$

Step2: Substitute given angles

$5x + 50 = 88 + 3x + 6$

Step3: Simplify and solve for x

$5x - 3x = 94 - 50$
$2x = 44$
$x = 22$

Step4: Calculate $\angle BCD$

$\angle BCD = 5(22) + 50 = 110 + 50 = 160$

Answer:

C. 160°