Sean determines that the triangle shown in the diagram has angle measures of 40°, 40°, and 100°. Is Sean correct?
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Answer:
Step-by-step explanation:
The two angles add to 80 degrees. Two remote angles always equal the exterior angle not connected to them.
That means that
x + 5 + x - 5 = 80
2x = 80
x = 40
The base angle is
40 + 40 + y = 180
80 + y = 180
y = 100
Note
You could do this much quicker by noticing that
80 + y = 189
y = 100
No he is not right
The given 2 angles are x + 5 which is 45 and x - 5 which is 35
All he got correct was the fact that the third angle is 100 degrees.