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STALIN [3.7K]
3 years ago
14

A home has a triangular backyard. The second angle of the triangle is 5degrees more than the first angle. The third angle is 7de

grees more than two times the first angle. Find the angles of the triangular yard.
Mathematics
2 answers:
marusya05 [52]3 years ago
7 0

Answer:

42,47,91

Step-by-step explanation:

Let the first angle = x

Second angle = 5 degree more = 5 + x

3rd angle = 7 degree more than two times = 7 + 2x

NOTE : sum of angles in a triangle = 180

X + 5+ x + 7 + 2x = 180

Collect like terms

X+x+2x +5 +7 = 180

4x + 12 = 180

4x = 180 - 12

4x = 168

Divide both sides by 4

4x/4 = 168/4

X = 42 degree

First angle = 42 degree

2nd angle = 5 + x = 5+42 = 47 degree

3rd angle = 7 + 2x = 7 + 2(42)

=7 + 84 = 91 degree

I hope this was helpful, Please mark as brainliest

m_a_m_a [10]3 years ago
4 0

Answer:

Angle 1 = 42, Angle 2 = 47, Angle 3 = 91

Step-by-step explanation:

Angle 1 = x

Angle 2 = x + 5

Angle 3 = 2x + 7

x + x + 5 + 2x + 7 = 180°

combine like terms

4x + 12 = 180°

subtract 12 from both sides

4x = 168

divide both sides by 4

x = 42

x + 5 = 47

2x + 7 = 91

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Step-by-step explanation:

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