Question

13. Are the following pairs of angles supplementary ?
(1) 139° and 39º.
(2) 26° 59' and 153° 1
(3) 3\10 of a right angle and 4/15 of two right angles.
(4) 2x° + 65° and 115° - 2xº.​

Answer 1

Step-by-step explanation:

(i) 139° and 39° : No, these are not supplementary angles as their sum is not 180° (139° + 39° = 178°)

(ii) 26° 59’ and 153° 1’: Yes, there are supplementary angles as their sum is 180° (26° 59’ + 153° 1’ = 180°)

(iii) (3/10) of a right angle and 4/15 of two right angles

⇒ (3/10) of 90° and 4/15 of 180°

⇒ 27° and 48°: No, there are not supplementary angles as their sum is not 180° (27° + 48° = 75°)

(iv) 2x° + 65° and 115° - 2x° : Yes there are supplementary angles as their sum is 180° (2x + 65° + 115° - 2x° = 65° + 115° = 180°)