Question

Please help! Really need help :')​

Answer 1

In the above givem figures all the angles can be found by complementary pair of angles.

What do you mean by complementary pair of angles?

• There are basically two types of pair of angles i.e. Supplementary & Complementary.
• Supplementary means that sum of two angles is 180°. It is also known as linear pair of angles. It is always formed on straight line.
• Complementary pair of angle is that when sum of both angles is 90°. It is formed when a right angle is bisected.

Fun Fact: All angles of a square and rectangle are of 90°.

#a

 ∠A+45°=90°

 ∠A+45°=90° ∠A=90°-45°

 ∠A+45°=90° ∠A=90°-45° ∠A=45°

Hence,  ∠A is 45°

#b

 ∠B+65°=90°

 ∠B=90°-65°

 ∠B=25°

Hence,  ∠B is 25°

#c

 ∠C+52°=90°

 ∠C=90°-52°

 ∠C=38°

Hence,  ∠C is 38°

#d

 ∠D+40°+34°=90°

 ∠D+74°=90°

 ∠D=90°-74°

 ∠D=16°

Hence,  ∠D is 16°