SOLUTION: Recall that the sum of the measures of the angles of a triangle is 180 degrees. In the triangle below, angle c has the same measure as angle b, and a measures 42 degrees less than

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Question 225137: Recall that the sum of the measures of the angles of a triangle is 180 degrees. In the triangle below, angle c has the same measure as angle b, and a measures 42 degrees less than angle b. Find the measure of each angle.
Answer by drj(1380) About Me  (Show Source):
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Recall that the sum of the measures of the angles of a triangle is 180 degrees. In the triangle below, angle c has the same measure as angle b, and a measures 42 degrees less than angle b. Find the measure of each angle.

Step 1. Given c=b

Step 2. a=b-42 since angle a measures 42 less than angle b.

Step 3. Then, b-42+b+b=180 since c=b and the three angles add to 180 degrees.

3b=222%7D%7D%0D%0A%0D%0A%0D%0A%7B%7B%7B3b%2F3=222%2F3

b=74 and c=74 and a=74-42=32

Step 4. Check if the angles equal to 180...74+74+32=180 which it does.


Step 6. ANSWER: Angle a is 32 degrees and angles b and c is each 74 degrees.

I hope the above steps and explanation were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV