Two adjacent angles of a parallelogram are in the ratio 4:5. Find their measures.
Solution:
Given, two adjacent angles of a parallelogram are in the ratio 4 : 5
We have to find the measure of the angles.
A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.
From the properties of a parallelogram, the consecutive angles are supplementary.
So, 4x + 5x = 180°
9x = 180°
x = 180°/9
x = 20°
Now, 4x = 4(20°) = 80°
5x = 5(20°) = 100°
Therefore, the required measures of the angle are 80° and 100°
✦ Try This: Two adjacent angles of a parallelogram are in the ratio 2:4. Find their measures.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Solved Problem 28
Two adjacent angles of a parallelogram are in the ratio 4:5. Find their measures.
Summary:
Two adjacent angles of a parallelogram are in the ratio 4:5. The measure of the angles are 80° and 100°.
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