Answer:
42
Step-by-step explanation:
Do the math:)
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Answer:
tanI = 
Step-by-step explanation:
We require to calculate GH using Pythagoras' identity in the right triangle.
GH² + GI² = HI²
GH² + 5² = (
)²
GH² + 25 = 95 ( subtract 25 from both sides )
GH² = 70 ( take square root of both sides )
GH = 
Then
tanI =
=
= 
The three angles of a triangle should equal 180 so add 52+34 which equals 86.Then subtract 86 from 180 to get the third angles measure which is 94 so the answer is 94.
Answer:
x = 67; y = 40
Step-by-step explanation:
You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.
To find x, look at angles 2x - 17 and 63.
They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.
2x - 17 + 63 = 180
2x + 46 = 180
2x = 134
x = 67