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22 votes
22 votes
Please help I dont understand

Please help I dont understand-example-1
Please help I dont understand-example-1
Please help I dont understand-example-2
User Zswang
by
2.5k points

1 Answer

25 votes
25 votes

Answer:

Angle 2=160

Angle 3=10

Explanation:

The rhombus is made up of two isoceles triangle.

Angle 1 measures 160.

Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.

So the reamaing angles in the top triangle are equal so we can use this equation

Remeber that triangle maximum degree it can hold is 180


160 + x + x = 180


160 + 2x = 180


2x = 20


x = 10

We have two congruent triangle side they share Three sides. SSS

This means the corresponding angle of Angle 1 is Angle 2.

Angle 2=Angle 1 by CPCTC.

Angle 2=160

Angle 3 corresponds with one of the remaining congruent angles so it measures

10.

User Sebastian Hoffmann
by
3.0k points