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The angle measurements in the diagram are represented by the following expressions

The angle measurements in the diagram are represented by the following expressions-example-1

2 Answers

6 votes

Answer:

For whom ever has this question

B=108 x=15

User Mottalrd
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3 votes

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

User Ognjen Babic
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7.3k points