217,472 views
33 votes
33 votes
What is the value of x?
52°
93°
(x + 3)
78°

What is the value of x? 52° 93° (x + 3) 78°-example-1
User Sergey Grinev
by
2.8k points

2 Answers

16 votes
16 votes

Answer: 70

Explanation:

What is the value of x? 52° 93° (x + 3) 78°-example-1
User Dan Healy
by
2.8k points
10 votes
10 votes

Answer:

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.

User Willster
by
2.8k points
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