in the question the measures of two angles are given. in case find the measures of the third angles. 30°,80°
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Answer:
The measures of two angles of a triangle are 35 and 45. What is the measure of the third angle of the triangle?
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I think by now it has been a well-established fact that the interior angles of a triangle sum to 180 degrees. I want to show the proof, rather than just spew it out as a fact.
So we have this random triangle. We want to prove that a+b+c=180 . Here’s how:
We draw a straight line that is parallel to line ab . Now, we have a copy of angle a and a copy of angle b , since the two lines are parallel. It is clear now that a+b+c=180 .
Now, we know 2 of the interior angles of the triangle are 35 and 45 degrees. (Let them be a and b , respectively). Now all we need some simple algebra!
a+b+c=180
a=35,b=45
35+45+c=180
c=180−35−45
c=100
So now we know the other angle is 100 degrees!
Solved!
Step-by-step explanation:
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