Question

If two angels of a parallelogram are 105 degree and 75 degree , what will be the measures of the remaining two angles

Answer 1

Answer:

Step-by-step explanation:

opposite angles of a parallelogram are complementary

∠A=105°

∠B=75°

∠A+∠C=180°

∠C=180°-∠A

∠C=180°-105

∠C=75°

∠B+∠D=180°

∠D=180°-75°

∠D=105°

thus the measures of the remaining two sides are 105° and 75° respectively

Answer 2

Given :

⬤ Two angles of Parallelogram are 105° and 75° .

To Find :

⬤ Other two angles of Parallelogram .

Solution :

• Agle One = 105°
• Angle Second = 75°
• Angle Three = ?
• Angle Four = ?

Let :

• Angle Three be x and Angle four be y .

Now :

$\bf[\:{Sum\:of\:Opposite\:Angles=180^{\circ}\:]}$

Angle One + x = 180°

105 + x = 180°

x = 180 - 105

$\bf{x=75^{\circ}}$

Therefore , Angle Three (x) is of 75° .

So ,

Angle Second + y = 180°

75 + y = 180°

y = 180 - 75

$\bf{y=105^{\circ}}$

Therefore , Angle Four (y) is of 105° .