Mathematics: Please help Find the measure of UT 65° 51° 70° 55°

Please help Find the measure of UT 65° 51° 70°

Ответ:

Roberto2014

10.02.2022

$\huge\boxed{55^\circ}$

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}$

0,0(0 оценок)

Ответ:

YODIIZ6590

16.05.2021

Mathematics

Step-by-step explanation:

0,0(0 оценок)

Please help Find the measure of UT

65°

51°

70°

55°

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question