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wel
3 years ago
14

What is the value of x?30455560​

Mathematics
2 answers:
mart [117]3 years ago
8 0

In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).

  • Supplementary angles add upto <u>1</u><u>8</u><u>0</u><u>°</u><u>.</u>

Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.

<u>Then,</u>

\angle TRS +  \angle TRV = 180 \degree

In the question, given angle TRS = x and angle TRV = 3x

x + 3x = 180  \degree

4x = 180 \degree

Now, divide 4 from both sides because we need to find x.

x =  \frac{180 \degree}{4}

x = 45 \degree

It was given that Angle TRS is x

So, Angle TRS = <u>45</u>°

Option B

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

KATRIN_1 [288]3 years ago
5 0

Answer:

\boxed {\tt B. \ x=45}

Step-by-step explanation:

x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.

Add x and 3x, and set that equal to 180.

x+3x=180

Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.

(x+3x)=180

4x=180

Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

\frac{4x}{4} =\frac{180}{4}

x=\frac{180}{4}

x=45

x is equal to 45, so the correct answer is B. 45

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