Question

the measure of angle jkl can be represented using the expression 3x + 5. what is the degree measure of ∠jkl? the figure shows a diagram with point k, and rays kj, km, kl. the angle between kj and km is 45°, and the angle between km and kl is x°.

Explanation:

Step1: Analyze angle composition

∠JKL is composed of ∠JKM (45°) and ∠MKL (x°), so \( 3x + 5 = 45 + x \).

Step2: Solve for x

Subtract x and 5 from both sides: \( 3x - x = 45 - 5 \) → \( 2x = 40 \) → \( x = 20 \).

Step3: Calculate ∠JKL

Substitute x = 20 into \( 3x + 5 \): \( 3(20) + 5 = 60 + 5 = 65 \).

Answer:

65