Answer:
15°, 15°, 165°, 165°
Step-by-step explanation:
Opposite angles are equal
(8x-33)=(5x-15)
8x-5x = 33-15
3x = 18
x= 18/3 = 6
8(6) - 33 = 15°
5(6) - 15 = 15°
180-15 = 165° = 2 other opposite angles
8x - 33 = 5x + 15
TRANSPOSE SIMILAR TERMS
8x - 5x = 15 + 33
3x = 48
DIVIDE BOTH SIDES BY 3
x = 16
USE THE GIVEN EXPRESSION AND SUBSTITUTE THE VALUE OF X
8x - 33
8 (16) - 33
= 95°
5x + 15
5 (16) + 15
Therefore, two opposite angles measure 95° and they are congruent angles.
hope it helps :))
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Answers & Comments
Answer:
15°, 15°, 165°, 165°
Step-by-step explanation:
Opposite angles are equal
(8x-33)=(5x-15)
8x-5x = 33-15
3x = 18
x= 18/3 = 6
8(6) - 33 = 15°
5(6) - 15 = 15°
180-15 = 165° = 2 other opposite angles
Answer:
8x - 33 = 5x + 15
TRANSPOSE SIMILAR TERMS
8x - 5x = 15 + 33
3x = 48
DIVIDE BOTH SIDES BY 3
x = 16
USE THE GIVEN EXPRESSION AND SUBSTITUTE THE VALUE OF X
8x - 33
8 (16) - 33
= 95°
5x + 15
5 (16) + 15
= 95°
Therefore, two opposite angles measure 95° and they are congruent angles.
hope it helps :))