First of all, we know that $\angle Q=95^{\circ}$ because of its vertical angle. $\angle Q$ is also equal to $\dfrac{\widehat{RS}+\widehat{UT}}{2}$ because it's an interior angle.

$\begin{aligned}\angle Q&=\frac{\widehat{RS}+\widehat{UT}}{2}\\95^\circ&=\frac{135^\circ+\widehat{UT}}{2}&&\qquad&&\textsf{Substitute in the known values.}\\190^\circ&=135^\circ+\widehat{UT}&&\qquad&&\textsf{Multiply both sides by $2$.}\\55^\circ&=\widehat{UT}&&\qquad&&\textsf{Subtract $135^\circ$ from both sides.}\\\widehat{UT}&=\boxed{55^\circ}&&\qquad&&\textsf{Switch the sides of the equation to show our answer.}\end{aligned}$

8 0

3 years ago

I WILL GIVE BRAINLIEST AND POINTS PLEASE I NEED TO PASS !!!!!!

WITCHER [35]

The answer is D, 14...

7 0

3 years ago

A ladder is standing on horizontal ground and rests against a vertical

V125BC [204]

Answer:

I don't know how to tell you the answer on this one because you need to know how tall the wall is for this one

Step-by-step explanation:

7 0

3 years ago

Jenna's class brought in 40 pieces of fruit for a celebration and 12 pieces of fruit were eaten. What percentage of the fruit wa

aleksklad [387]

Answer:

70 percent of the fruit has not been eaten.

Step-by-step explanation:

Hope this helps ^^✨

3 0

3 years ago