In the trapezium ABCD, the measure of ∠D is
(a) 55°
(b) 115°
(c) 135°
(d) 125°

Solution:

Given, ABCD is a trapezium.

We have to find the measure of ∠D.

We know that the sum of the angles on either side of the base of a trapezium are supplementary.

So, ∠A + ∠D = 180°

55° + ∠D = 180°

∠D = 180° - 55°

∠D = 125°

Therefore, the measure of angle D is 125°

✦ Try This: In the trapezium PQRS, the measure of angle P is 60 degrees. The measure of ∠S is (a) 55°, (b) 115°, (c) 135°, (d) 125°

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 27

In the trapezium ABCD, the measure of ∠D is (a) 55° (b) 115° (c) 135° (d) 125°

Summary:

In the trapezium ABCD, the measure of ∠D is 125°.

☛ Related Questions:

• A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle i . . . .
• The number of sides of a regular polygon where each exterior angle has a measure of 45° is (a) 8 (b) . . . .
• In a parallelogram PQRS, if ∠P = 60°, then other three angles are (a) 45°, 135°, 120° (b) 60°, 120°, . . . .