What is the value of the x in the figure? Plz help ASAP

Mathematics

2 answers:

zalisa [80]2 years ago

4 0

Answer:

2x+15=145........ vertically Opposite

2x=145-15

2x=130

x=130/2

x=65

vivado [14]2 years ago

3 0

Answer:

The value of x is 65°

Step-by-step explanation:

For a given figure

(2x + 15°) and 145° (given)

Now, By vertically opposite

2x + 15° = 145°

2x = 145° - 15°

2x = 130°

x = 130°/2

x = 65°

Thus, The value of x is 65°

-TheUnknownScientist

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

Maslowich

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

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}$