Question

9/22 -angles mixed practice
given the picture above, solve for the value of x.
x =

Explanation:

Step1: Recall angle - sum property

The sum of angles on a straight line is 180°.

Step2: Set up equation

We know that \(32^{\circ}+100^{\circ}+x^{\circ}=180^{\circ}\).

Step3: Solve for x

First, simplify the left - hand side: \(32 + 100+x=180\), so \(132+x = 180\). Then, subtract 132 from both sides: \(x=180 - 132\).

Answer:

48