In trapezium ABCD with AB||CD, if ∠A = 100°, then ∠D = __________. Fill in the blanks to make the statement true.
Solution:
Given, In trapezium ABCD with AB||CD, if ∠A = 100°, then ∠D = __________.
We have to fill in the blanks to make the statement true.
A trapezium is a two-dimensional quadrilateral having a pair of parallel opposite sides. The opposite parallel sides are referred to as the base and the non-parallel sides are referred to as legs of the trapezium. It is a closed plane shape having four sides and four corners.
We know that the sum of the angles on either side of the base of a trapezium are supplementary.
So, ∠A + ∠D = 180°
100° + ∠D = 180°
∠D = 180° - 100°
∠D = 80°
Therefore, the measure of angle D is 80 degrees.
✦ Try This: In trapezium POLE with PO||LE, if ∠P = 100°, then ∠E = __________. Fill in the blanks to make the statement true.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 90
In trapezium ABCD with AB||CD, if ∠A = 100°, then ∠D = __________. Fill in the blanks to make the statement true.
Summary:
In trapezium ABCD with AB||CD, if ∠A = 100°, then ∠D = 80°.
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