Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
61°
45°
(4x+2)°
answer attempt 1 out of 2
x = |
submit answer

Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(61+(4x + 2)+45=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((61 + 45+2)+4x=180\), which gives \(108+4x=180\).

Step3: Solve for \(x\)

Subtract \(108\) from both sides: \(4x=180 - 108\), so \(4x=72\). Then divide both sides by \(4\): \(x=\frac{72}{4}\).

Answer:

\(x = 18\)