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: 0 / 2 part 1 of 2 the larger angle measures

Explanation:

Step1: Let the smaller angle be $x$.

The larger angle is $4x$ since it is 4 times the measure of 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 $x$.

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

Step5: Find the larger angle.

The larger angle is $4x$, so $4\times36^{\circ}=144^{\circ}$.

Answer:

$144$