Question

In a parallelogram abcd,angle bcd=105° find angle a,angle b, angle c,angle d

Answer 1

Step-by-step explanation:

So, We are given a Parallelogram ABCD and we are told that ∠BCD = 105°. We are told to find ∠A, ∠B, ∠C, ∠D.

What is a Parallelogram?

A Parallelogram is a quadrilateral having two pairs of opposite sides equal and parallel.

Properties of Parallelogram regarding Angles

There are different properties of Parallelogram. For this question, You can consider to remember these two properties as important:

• Adjacent angles of Parallelogram are Supplementary. Supplementary angles are those angles who make up the sum as 180°
• Opposite angles are Equal.

So, Let's get to the answer of your question.

We are given Parallelogram ABCD, While naming Any geometrical figure, consider giving the name either in Clockwise or Anti-clockwise.

So, We are given ∠BCD = 105° which means ∠C = 105°

∵∠C = 105° ∠A = 105° (Opposite angles are equal)

∴ ∠B = 75° (Adjacent angles are supplementary)

∵∠B = 75° ∠D = 75° (Opposite angles are equal)