Question

if angle vyx=282 and angle uvx is 4x-5,
find x

Answer 1

Answer:Answer:22.25 or 22Step-by-step explanation:360-276+=844x-5=844x=89x=22.25

Step-by-step explanation:

Answer 2

Concept:

An angle could be a combination of two rays (half-lines) with a standard endpoint. The latter is thought because the vertex of the angle and also the rays because the sides, sometimes because the legs and sometimes the arms of the angle.

Given:

We are given $vyx=282$ and angle $uvx$ is $4x-5$.

Find:

We have to search out the worth of$x.$

Solution:

We are on the condition that $m \angle {vyx}^{\frown} =282^{\circ}$

Now, we will find $\angle vox$, we get

$\angle vox=360-282\\ \angle vox=78$

Further, we are going to draw the figure.

We are providing $\angle uvx=4x-5$

Now, we'll find $\angle xvo$, we get

$\angle xvo=90-(4x-5)\\\angle xov=95-4x$

Therefore, $\angle xvo=\angle vxo=95-4x$ and this is often the adjacent sides.

Further, we are going to find $\angle vox$, we get

$\begin{aligned}2(95-4x)+78&=180\\ 190-8x&=180\\ 8x&=88\\ x&=11\end$

Hence, the worth of $x$ is $11.$

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