What is the type of parallelogram if two consecutive angles of a parallelogram are (x + 60)° and (2x + 30)°?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

Rectangle

Trapezium

Rhombus

Parallelogram

answer is A.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

We know that consecutive interior angles of a parallelogram are supplementary.
∴ (x + 60)°+ (2x + 30)° = 180°
⇒ 3x + 90° = 180°
⇒ 3x = 90°
⇒ x = 30°

(x + 60)° = (30+60)° = 90°

(2x+30)° = (2 x 30 + 30)° = 90°

Thus, two consecutive angles are 90° and 90°.
Hence, the type of parallelogram is a rectangle.

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test