138k views
5 votes
Cgggggggggggggggggggg image ggggggggggggggggggggggggggggg

Cgggggggggggggggggggg image ggggggggggggggggggggggggggggg-example-1

1 Answer

3 votes

9514 1404 393

Answer:

  • x = 30
  • y = 105
  • z = 75

Explanation:

You know the linear pair z° and 105° are supplementary angles, so ...

z = 180 -105 = 75

The other base angle of the isosceles triangle has the same measure, 75°. __

Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...

75° +75° +x° = 180° ⇒ x = 180 -150 = 30

The second relation gives ...

75° +x° = 105° ⇒ x = 105 -75 = 30

__

y° is supplementary to the left-side base angle, so is ...

y = 180 -75 = 105

Of course, you could also figure y from the symmetry of the figure.

The values of x, y, z are 30, 105, 75, respectively.

User Leonora Tindall
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories