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Dmitriy789 [7]
2 years ago
8

What is the value of x? 52° 93° (x + 3) 78°

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
4 0

Answer:

Step-by-step explanation:

Step One

Find the exterior angle connected to the 93 degree angle. It is also a supplement to 93. Supplementary angles add to 180. Call the exterior angle y

93 + y = 180          Subtract 93 from both sides

y = 180 - 93

y = 87

Step two

Add all the exterior angles. They equal 360

x + 52 + 87 + x + 3 + 78 = 360    Combine the like terms

Step 3

Solve the equation

2x + 220 = 360                            Subtract 220 from both sides

2x  = 360 - 220

2x = 140                                        Divide by 2

x = 70

I don't see that anywhere, but I'm pretty sure I'm right.

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