Question

Use the diagram to find the angle measures of the triangle. Recall that the sum of the angle measures of a triangle is 180 degrees.

Answer 1

Answer:

x =29

x+6 =35

4x = 116

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+ (4x) + (x+6) = 180

Combine like terms

6x+6 = 180

Subtract 6 from each side

6x+6-6 = 180-8

6x = 174

Divide each side by 6

6x/6 = 174/6

x =29

x+6 = 29+6 = 35

4x = 29*4 =116

Answer 2

The values of x°; (x + 6)° and 4x after solving the triangle are : 29° ; 35° and 116° respectively.

Measure of angles in a triangle, (A + B + C) = 180°

Therefore

x° + (x+6)° + 4x° = 180°

x + x + 6 + 4x = 180

6x + 6 = 180

6x = 180 - 6

6x = 174

x = 174 / 6

x = 29°

Hence,

x° = 29°

(x+6)° = (29 + 6) = 35°

4x = 4(29) = 116°

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