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9

.
ABCD is a rhombus.
Find each angle.
Reason:

Plz answer ASAP, thank you

9 . ABCD is a rhombus. Find each angle. Reason: Plz answer ASAP, thank you-example-1
User AdamNYC
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1 Answer

4 votes

Answer:

Explanation:

I sympathize. The question is not very clear: you don't know what A and B really are (I mean which vertex).

However it is a rhombus, and you are to assume that B follows A. So put A anywhere and make B follow it. They are supplementary which means they add to 180 degrees. All rhombi have that property.

A + B = 180

A/B = 2/1

Cross Multiply the second equation

A = 2*B

Put 2B into the first equation.

2B + B = 180 Combine the left terms

3B = 180 Divide both sides of the equation by 3

B = 180 / 3

B = 60

B = 60

A = 180 - 60 = 120

Label the two acute angles as 60 and the two obtuse angles as 120.

Acute: means less than 90

Obtuse: means more than 90

User Lars Peterson
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