91Ó°ÊÓ

The diagram shows the sculpture Clothespin casting a shadow. In the diagram, $∠2$is the angle of the sun above the horizon.

1. At a certain time of the day, $m∠1=148°$, and the shadow has a length of 72 feet. Use a calculator to find the height of the sculpture. Round to the nearest tenth.
2. At a certain time of the day, $m∠1=135°$. How is the length of the shadow related to the height of the sculpture? Explain your reasoning.

In Exercises 32 and 33, use the diagram.

What is $m∠6$?

In Exercises 32 and 33, use the diagram.

Which numbered angles have the same measure as $∠1$? Explain your reasoning.

Let $∠1$ and $∠2$be vertical angles. What their measures if they are complementary angles? supplementary angles?

Use diagram shown.

1. For $\mathrm{Δ}ABC$ and $\mathrm{Δ}DEC$, find the measure of each angle and the length of each side.
2. How are $\mathrm{Δ}ABC$ and$\mathrm{Δ}DEC$ related? Explain your reasoning.

Let $∠1$and $∠2$be complementary angles, and let $∠2$and $∠3$be supplementary angles. If $m∠1=x°$ and $m∠2=2x°$, find x. Then find $m∠1$, $m∠2$, and $m∠3$.

Use a compass and a straightedge to draw a segment whose length is the sum of the lengths of the given segments.

Use a compass and a straightedge to draw a segment whose length is the sum of the lengths of the given segments.

Use a compass and a straightedge to draw a segment whose length is the sum of the lengths of the given segments.

Solve the equation. Check your solution.

$5x-12=38$