185k views
0 votes
Find the value of x, y, and z.

x = 96°; y = 84°; z = 41°


x = 84°; y = 96°; z = 0°


x = 55°; y = 125°; z = 41°


x = 96°; y = 52°; z = 41°

Find the value of x, y, and z. x = 96°; y = 84°; z = 41° x = 84°; y = 96°; z = 0° x-example-1
Find the value of x, y, and z. x = 96°; y = 84°; z = 41° x = 84°; y = 96°; z = 0° x-example-1
Find the value of x, y, and z. x = 96°; y = 84°; z = 41° x = 84°; y = 96°; z = 0° x-example-2
User Dgsleeps
by
7.2k points

1 Answer

4 votes

Answer:

A

Explanation:

The sum of the 3 angles in a triangle = 180°, thus

x = 180° - (52 + 32)° = 180° - 84° = 96°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 52° + 32° = 84°

z = 180° - (55 + 84)° = 180° - 139° = 41°

In conclusion

x = 96°, y = 84° and z = 41°

User Jesse Glick
by
7.6k points