Question

given rhombus PQRS and angle S=40 degrees, what is the measure of angle R

Answer 1

the sum of the interior angles of a quadrilateral is 360°

[360 - (40 * 2)] : 2 =

280 : 2 =

140°

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140 + 140 + 40 +40 = 360°

Answer 2

The measure of angle R = 140°.

What is a Rhombus?

A rhombus is a quadrilateral with all sides equal and two pair of parallel sides.

As rhombus is also a parallelogram, the opposite angles are equal to each other.

The rhombus PQRS with measure of angle S = 40 degree.

The sum of interior angles of a triangle is equal to 360 degree.

So,

∠P +∠Q +∠P + ∠S = 360

From the property of Rhombus

∠P = ∠R

∠Q = ∠S = 40

∠R + ∠R + 40+40 = 360

2∠R = 360-80

2∠R = 280

∠R = 140°

To know more about Rhombus

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