Question

problem 21: (first taught in lesson 17) two angles are a linear pair, and one has twice the measure of the other. find the smaller angles measure. after you enter your answer press go.

Explanation:

Step1: Define the angles

Let the smaller angle be $x$. Then the larger angle is $2x$.

Step2: Use linear - pair property

Since they are a linear pair, $x + 2x=180^{\circ}$.

Step3: Solve the equation

Combining like terms, we get $3x = 180^{\circ}$. Then $x=\frac{180^{\circ}}{3}=60^{\circ}$.

Answer:

$60^{\circ}$