Question

Use the fact that the sum of the angles in a triangle is 180° for this question.Two angles of a triangle have the same measure and the third one is 9º greater than the measure ofeach of the other two. Find the measure of the angles in the triangle.The 2 SMALLER angles each have a measure ofThe LARGER angle has a measure of0Question Help: Message instructorSubmit QuestionJump to Answer

Answer 1

Let

x ------> measure of the two angles that have the same measure

y -----> teh larger angle

we have that

2x+y=180 --------> equation A

y=x+9 -------> equation B

substitute equation B in equation A

2x+(x+9)=180

solve for x

3x=180-9

3x=171

x=57 degrees

Find the value of y

y=x+9

y=57+9

y=66 degrees

therefore

The 2 SMALLER angles each have a measure of 57 degrees

The LARGER angle has a measure of 66 degrees