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May anyone help me with this? im confused and would love an explanation!

May anyone help me with this? im confused and would love an explanation!-example-1
User Knokio
by
8.4k points

1 Answer

3 votes

Answer

Angle PQR = 82°

Step-by-step explanation

Tosolve this, we just need to note one thing about the properties of a rhombus;

The diagonals of a rhombus bisects its angles into two equal parts.

So, this means that

4x - 27° = 2x + 7°

4x - 2x = 27° + 7°

2x = 34°

Divide both sides by 2

(2x/2) = (34°/2)

x = 17°

We are then asked to solve for Angle PQR

Angle PQR = 4x - 27° + 2x + 7°

Angle PQR = 6x - 20°

Recall that x = 17°

Angle PQR = 6x - 20°

Angle PQR = 6(17°) - 20°

Angle PQR = 102° - 20°

Angle PQR = 82°

Hope this Helps!!!

User Nico Nekoru
by
8.0k points

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