Question

∠pqr is a straight angle, so m∠pqr = 180°. if m∠pqs=(3x - 3)° and m∠rqs=(x + 19)°, find the value of x.

Explanation:

Step1: Sum of angles equals 180°

$(3x - 3) + (x + 19) = 180$

Step2: Simplify left side

$4x + 16 = 180$

Step3: Solve for x

$4x = 164 \implies x = 41$

Answer:

41