126k views
2 votes
Help pls I don’t understand

Help pls I don’t understand-example-1
User Amun
by
8.2k points

1 Answer

6 votes

Answer:

3. (x, y) = (20, 30)

4. (x, y) = (30, 4)

Explanation:

You have equilateral triangles in two different configurations, and you want to find the values marked x and y.

3.

All of the angles marked with an arc are congruent, so all are 60°. The angle marked 80° is an external angle to the top/left triangle. Its value is the sum of the values of the remote interior angles:

80° = 60° +x°

20° = x° . . . . . . . subtract 60°

x = 20

The sides of the equilateral triangle are congruent, so all are length 46. That means the right side is ...

16 +y = 46

y = 30 . . . . . . . subtract 16

(x, y) = (20, 30)

4.

All of the angles marked with an arc are congruent, so all are 60°. The top 60° angle of the equilateral triangle is an external angle to the isosceles triangle at top/right. Its two base angles are the remote interior angles with respect to that 60° exterior angle, so their sum is 60°:

x° +x° = 60°

x = 30

The two marked legs of the isosceles triangle are both 20, which means all sides of the equilateral triangle are length 20.

5y = 20

y = 4 . . . . . . . divide by 5

(x, y) = (30, 4)

User Aki Nishanov
by
8.6k 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