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alexdok [17]
3 years ago
7

What is the missing variable?​

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

Answer:

137°

Step-by-step explanation:

So, both are equal to each other due to them being the same degree angle.

5x + 7 = 8x - 71

subtract 5x on both sides

7 = 3x - 71

add 71 to both sides

7 + 71 = 3x - 71 + 71

78=3x

divide both sides by 3

78/3 = x

x = 26

insert x into the equations

5(26)+7°

= 137°

8(26)-71°

= 37°

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Solve for all three unknowns
Rina8888 [55]

Answer:

x= 32.3 (3 s.f.)

θ= 21.8° (1 d.p.)

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Step-by-step explanation:

Applying Pythagoras' Theorem,

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θ = \tan^{ - 1} ( \frac{12}{30} )

θ= 21.801° (3 d.p.)

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Alternatively,

α +θ +90°= 180° (∠ sum of triangle)

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