Rhombus Angle Calculation: Finding Angle A When B = 80 Degrees

Question

ABCD rhombus.

B=80 ∢B=80

Calculate the size A ∢A

AAABBBDDDCCC80

Video Solution

Step-by-Step Solution

According to the properties of a quadrilateral, each pair of opposite angles are equal to each other.

Therefore:

B=C=80 B=C=80

A=D A=D

Additionally, we know that the sum of the angles in a quadrilateral equals 360 degrees.

Therefore, we can calculate angles A and D as follows:

3608080=200 360-80-80=200

200:2=100 200:2=100

Angle A is equal to 100.

Answer

100