Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2 x = m

Explanation:

Step1: Apply triangle - angle - sum theorem

The sum of the interior angles of a triangle is 180°. So, \((2x + 5)+(2x + 17)+90=180\).

Step2: Simplify the left - hand side

Combine like terms: \(2x+2x + 5+17+90=4x+112\). So the equation becomes \(4x + 112=180\).

Step3: Solve for \(x\)

Subtract 112 from both sides: \(4x=180 - 112\), \(4x=68\). Then divide both sides by 4: \(x = 17\).

Answer:

17