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Yuri [45]
3 years ago
9

Find the value of x if ∡A and ∡B are supplementary angles.

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

x = 30.5

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

C + D = 180

Supplanting we get:

(3x-44) + (5x-20) = 180

We add up the X's.

8x-44-20 = 180

8x-64 = 180

Then we send 64 to the other side adding:

8x = 180+64

8x = 180+64

8x = 244

And then the 8 goes dividing:

x = 244 : 8

x = 30.5

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horsena [70]

Answer:

Base angle = 72

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Step-by-step explanation:

Measure of the base angle = x. But there are two of them. (Definition of isosceles).  Keep that in mind.

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So we have x + x + x/4 = 180 degrees.

change 1/4x to 0.25x x since 1/4 = 0.25

Equation

x + x + 0.25 = 180

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Solution

2.5x = 180                      Divide by 2.5 on both sides

2.5x/2.5 = 180/2.5

x = 72

Answer

That means that each base angle = 72 degrees

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