Question

1. three adjacent angles form a straight line. two of the angles measure 35° and 65°. find the third angle.

Explanation:

Step1: Recall straight line angle sum

A straight line forms a \(180^\circ\) angle. Let the third angle be \(x\).

Step2: Set up the equation

The sum of the three adjacent angles is \(180^\circ\), so \(35^\circ + 65^\circ + x = 180^\circ\).

Step3: Calculate the sum of known angles

First, find \(35^\circ + 65^\circ = 100^\circ\).

Step4: Solve for \(x\)

Subtract the sum of known angles from \(180^\circ\): \(x = 180^\circ - 100^\circ = 80^\circ\).

Answer:

\(80^\circ\)