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Answer:
1) d. All of the above are true
2) b. 21.8°
3) 7x + 10 = 150 ; x = 20°
4) b. The measure of angle B is 117°
Step-by-step explanation:
1) 4x + 8x = 180
12x = 180
x = 15°
4x = 60°
8x = 120°
2) x = 90 - 68.2
x = 21.8°
3) 7x + 10 = 150
(Vertically opposite angles)
7x = 140
x = 20°
4) Angle A = 180 - 90 - 27
Angle A = 63°
Angle B = 180 - 63
Angle B = 117°
Angle C = 180 - 117
Angle C = 63°
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Rewritten by : Barada
Answer:
Step-by-step explanation:
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QUESTION 1: B
Half of a circle is 180. One side is 27° and the one in the middle is a right angle which is 90°. So we must add the sides together than subtract them by 180°.
90° + 27° = 117°
180° - 117° = 63°
So now we know that angle A is 63°!
Angle C is adjacent to angle A making it 63° as well. We also know that angle B is adjacent so that means angle B is 117°.
Only B is is the correct answer.
~~~~~~~~~~
QUESTION 2: x = 20
150° is adjacent to 7x + 10 making them equal. But how do we solve this? We must make a linear equation out of this!
150 = 7x + 10
Subtract 10 on each side,
150 = 7x + 10
- 10 - 10
We get,
140 = 7x
Divide by 7 on each side,
140 ÷ 7 = 7x ÷ 7
Evaluate,
20 = x
We get that our answer is x = 20!
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QUESTION 3: x = 21.8°
We know that x° + 68.2° = 90° or a right angle. Therefore for this problem we must subtract!
90° - 68.2° = 21.8°
For this question x is 21.8°
~~~~~~~~~~~~~~~~~~~~~
QUESTION 4:
For this question we know that 4x + 8x = 180° we must solve this linear equation out!
4x + 8x = 180°
Add,
12x = 180°
Divide by 12,
12x ÷ 12 = 180° ÷ 12
Evaluate,
x = 15
We now know that x = 15 which solves our 4th and final question of the day! Phew! That took a lot of brain power but we made it! Nice job everyone!
