The sum of the angles of the triangle is 150 degrees greater than one of them, and 75 degrees

| March 4, 2021 | education

The sum of the angles of the triangle is 150 degrees greater than one of them, and 75 degrees greater than the other. Find the degree measure of the third angle.

1) Find out the degree measure of the first angle if the sum of the angles of the triangle is 180 ° and it is 150 ° more than the first angle.

180 – 150 = 30 °.

2) Find out how many degrees the second angle is, if it is 75 ° less than the sum of the three angles of the triangle, and the sum of all the angles of the triangle is 180 °.

180 – 75 = 105 °.

3) Find out the sum of the two angles of the triangle.

105 + 30 = 135 °.

4) Find out the degree measure of the third angle if the sum of the three angles is 180 °, and the sum of the two angles is 135 °.

180 – 135 = 45 °.

Answer: the third angle was 45 °.



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