Question

use the image below to find the requested values. find the measure of ∠ckb

Explanation:

Step1: Note angle - sum property

The sum of angles on a straight - line is 180°. Here, ∠GKB and ∠CKB are supplementary (form a straight - line).

Step2: Set up equation

Let ∠GKB = 40° and ∠CKB=(x + 40)°. Then 40+(x + 40)=180.

Step3: Solve for x

First, simplify the left - hand side of the equation: 40+x + 40=180, which becomes x+80 = 180. Subtract 80 from both sides: x=180 - 80=100.

Step4: Find ∠CKB

Since ∠CKB=(x + 40)°, substitute x = 100 into the expression. So ∠CKB=100 + 40=140°.

Answer:

140°