1.Two complementary angles are in the ratio 7: 8. Find the angles.

2.two supplementary angles are in the ratio 7: 11. F

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1. Step-by-step explanation:

   1)

   Given:–

   Two complementary angles are in the ratio 7: 8

   To find:–

   Find the angles.

   Solution:–

   The ratio of two complementary angles = 7:8

   Let they be 7X° and 8X°

   We know that

   The sum of two angles is 90° then they are called Complementary angles

   =>7X°+8X°=90°

   =>15X°=90°

   =>X°=90°/15

   =>X°=6°

   =>7X°=7×6°=42°

   =>8X°=8×6°=48°

   Answer:–

   The two complementary angles are 42° and 48°

   Used formula:–

   The sum of two angles is 90° then they are called Complementary angles

   If an angle X° then it’s Complementary angle is (90-X)°

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   2)

   Given:–

   Two supplementary angles are in the ratio 7: 11.

   To find:–

   Find the angles.

   Solution:-

   The ratio of two supplementary angles = 7:11

   Let they be 7X° and 11X°

   We know that

   ” The sum of two angles is 180° ,then they are called Supplementary angles”.

   =>7X°+11X°=180°

   =>18X°=180°

   =>X°=180°/18

   =>X°=10°

   =>7X°=7×10°=70°

   =>11X°=11×10°=110°

   Answer:–

   The two supplementary angles are 70° and 110°

   Used formula:–

   ” The sum of two angles is 180° ,then they are called Supplementary angles”.

   If an angle X° then it’s supplementary angle is (180-X)°

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