Two adjacent angles of a parallelogram are (3x – 4)° and (3x + 10)° then the smaller angle of the paralleogram is -

Question

Question

This question was previously asked in

Rajasthan 3rd Grade (Maths & Science) Official Paper (Held On: 25 Feb 2023 Shift 2)

Answer 1

Given:

Two adjacent angles of a parallelogram are (3x - 4)° and (3x + 10)°

Concept used:

The sum of adjacent angles of a parallelogram is 180°

Calculation:

⇒ (3x - 4)° + (3x + 10)° = 180°

⇒ 6x + 6 = 180

⇒ x + 1 = 30

⇒ x = 29

The smaller angle = (3x - 4)° = 3(29) - 4 = 83°

∴ The smaller angle is 83°.