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Mashcka [7]
3 years ago
5

∠A∠A and ​ ∠B∠B ​ are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

Mathematics
2 answers:
iris [78.8K]3 years ago
8 0

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or  5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

Advocard [28]3 years ago
6 0
Vertical angles are <span> the pairs of opposite angles made by two intersecting lines. One interesting feature of these angles is that they have equal measurements. Therefore we can solve </span><span>m∠A as follows:

</span><span>m∠A = </span><span>m∠B
x = 5x - 80
6x = 80
x = 40/3

</span><span>m∠A = 40/3</span>
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SA = 2520 ft^2

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a = 21ft

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c = 20ft

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6 0
3 years ago
Please answer all questions thank you.
Ad libitum [116K]
1) 78.5/pi = 25
radius = 5
The one 5 digits away from that coordinate is (2,-1)

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4 0
3 years ago
Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP
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Answer:

<em>( x = 17° )</em>

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Consider the following steps;

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<em>Solution ; ( x = 17° )</em>

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