Question

1. the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Sum of triangle angles is 180°

$54^\circ + 90^\circ + (7x + 1)^\circ = 180^\circ$

Step2: Simplify left side

$145^\circ + 7x^\circ = 180^\circ$

Step3: Solve for x

$7x = 35 \implies x = 5$

Answer:

5