Question

find the measure of each marked angle
-7x° = □°
-8x° = □°
(type integers or decimals. simplify your answers.)

Explanation:

Step1: Identify angle relationship

The two angles \(-7x^\circ\) and \(-8x^\circ\) are supplementary (they form a linear pair, so their sum is \(180^\circ\)). So, we set up the equation: \(-7x + (-8x)=180\).

Step2: Solve for \(x\)

Combine like terms: \(-15x = 180\). Then, divide both sides by \(-15\): \(x=\frac{180}{-15}=-12\).

Step3: Find \(-7x^\circ\)

Substitute \(x = - 12\) into \(-7x\): \(-7\times(-12)=84\). So, \(-7x^\circ = 84^\circ\).

Step4: Find \(-8x^\circ\)

Substitute \(x = - 12\) into \(-8x\): \(-8\times(-12)=96\). So, \(-8x^\circ = 96^\circ\).

Answer:

\(-7x^\circ=\boxed{84}^\circ\)
\(-8x^\circ=\boxed{96}^\circ\)