Question

Two adjacent angles of a prallelogram are in the ratio 2 : 3, find the measures of all the angles.

Answer 1

Step-by-step explanation:

sum of adjacent angles of a parallelogram is 180°

ratio if adjacent sides of a parallelogram is 2:3

let the angles be 2x,3x

so,2x+3x=180

5x=180

x=180/5

=36

by this the angles are,

2x=2(36)=72°

3x=3(36)=108°

Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Given,

• Ratio of two adjacent angles of a llgm = 2 :3

So , Let these angle be 2x , 3x

We know that sum of Adjacent angles of llgm = 180°

∴ ∠A + ∠B = 180°

2x + 3x = 180°

5x = 180°

x = 180/5

x = 36°

∴

∠A = 3x = 3 x 36° = 108°

∠B = 2x = 2 x 36° = 72°

∠C = ∠A  = 108°

∠D = ∠B = 72°

[ Opposite angles of llgm are equal ]

$\rule{200}2$

Parallelogram Properties :

• Opposite sides are parallel .
• Opposite sides are equal .
• Opposite angles are equal .
• Diagonals make congruent triangles .
• Diagonals bisect each other .