Find the value of x when m<2 = x + 64
2 answers:
Answer:
Step-by-step explanation:
Since this is an isosceles triangle, the <em>two</em> base angles are congruent, therefore you have this:
![180° = 70° + 2[x + 64] \\ 180° = 70° + 2x + 128 \\ \\ 180 = 198 + 2x](https://tex.z-dn.net/?f=180%C2%B0%20%3D%2070%C2%B0%20%2B%202%5Bx%20%2B%2064%5D%20%5C%5C%20180%C2%B0%20%3D%2070%C2%B0%20%2B%202x%20%2B%20128%20%5C%5C%20%20%5C%5C%20180%20%3D%20198%20%2B%202x)
- 198 - 198
___________________
-18 = 2x
___ __
2 2
-9 = x
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Answer:
-9
Step-by-step explanation:
The triangle has two sides that are the same, so it is an isosceles triangle. Therefore, the base angles are the same.
Angles of a triangle add up to 180°, so:
70 + (x + 64) + (x + 64) = 180
70 + 2x + 128 = 180
2x = -18
x = -9
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