Question

The measures of two adjacent angles of a parallelogram are in the
ratio of 5:13. Find the measure of all its angles​

Answer 1

Step-by-step explanation:

5x+13x=180°

18x=180°

x=180°÷18

x=?

5x=5×your answer=?

13x=13×your answer=?

Answer 2

Measures of all angles are 50° , 50° , 130° and 130°.

Given :

The ratio of the measures of two adjacent angles of a parallelogram = 5:13

To find :

The measures of all its angles

Solution :

Sum of 5 and 13 = 5 + 13 = 18

Sum of adjacent angles of a parallelogram = 180°

Hence, one angle = 5/18 × 180

= 5 × 10

= 50°

The other angle = 13/18 × 180

= 13 × 10

= 130°

Opposite angles of a parallelogram are equal.

Hence , angle opposite to 50° will be 50° and angle opposite to 130° will be 130°.

Hence, measures of all angles are 50° , 50° , 130° and 130°.

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