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DanielleElmas [232]
3 years ago
11

Please help! Fast! It needs to be done and show me the steps.

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0
---------------------------------------------
Formula
---------------------------------------------
Sum of all exterior numbers = 360°

---------------------------------------------
Apply Formula
---------------------------------------------
z + 45 + 55 + 78 + 74 + z = 360

---------------------------------------------
Combine likes term
---------------------------------------------
2z + 252 = 360

---------------------------------------------
Take away 252 from both sides
---------------------------------------------
2z = 360 - 252
2z = 108

---------------------------------------------
Divide by 2 on both sides
---------------------------------------------
2z = 108
z = 108 ÷ 2
z = 54

---------------------------------------------
Find z + 45
---------------------------------------------
z + 45 = 54 + 45 
z + 45 = 99°

---------------------------------------------
Answer: 99°
---------------------------------------------
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