The third angle in an isosceles triangle is 10 more than 3 times as large as each of the two base angles. Find the measure of each angle.

Question

The third angle in an isosceles triangle is 10 more than 3 times as large as each of the two base angles. Find the measure of each angle.
The base angles are ??? degrees where the third angle is ??? degrees.

Please show a step by step explanation on how to do this

in progress 0
Jade 2 days 2021-09-09T10:05:19+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T10:07:16+00:00

    Answer: Each base angle is 34 degrees

    The third angle is 112 degrees

    Step-by-step explanation:

    Let x represent the measure of each base angle of the isosceles triangle.

    In an isosceles triangle, the base angles are equal.

    The third angle in an isosceles triangle is 10 more than 3 times as large as each of the two base angles. This means that the measure of the third angle is

    (3x + 10) degrees

    The sum of the angles in a triangle is 180 degrees. Therefore

    3x + 10 + x + x = 180

    3x + x + x = 180 – 10

    5x = 170

    x = 170/5

    x = 34

    The measure of the third angle is

    3x + 10 = 3 × 34 + 10

    = 112

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )