Question

solve the application involving geometry. if necessary, refer to the geometry formulas listed in the inside back cover of the text. the measure of one angle is 4 times the measure of another. if the two angles are supplementary, find the measures of the angles. part 1 of 2 the larger angle measures 144°. part: 1 / 2 part 2 of 2 the smaller angle measures

Explanation:

Step1: Let the smaller angle be $x$.

The larger angle is $4x$ since it is 4 times the smaller one.

Step2: Use the supplementary - angle property.

Supplementary angles add up to $180^{\circ}$, so $x + 4x=180^{\circ}$.

Step3: Combine like - terms.

$5x = 180^{\circ}$.

Step4: Solve for $x$.

$x=\frac{180^{\circ}}{5}=36^{\circ}$.

Answer:

$36$