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The measures of two consecutive angles of a parallelogram are in the ratio 5:7. What is the measure of an obtuse angle of the parallelogram?​

Sagot :

Answer:

Measures of angles are 75° and 105°

Step-by-step explanation:

Given: Consecutive angles 11gm in ratio 5:7

To find: Measures of angles

Solution: Sum of angle of parallelogram = 180°, if they're Consecutive angles

Let the angles be 5π and FxE as ratio is 5:7

= 5x + 7π = 180° = 12π = 180° = x = 15°

Angles are 5x = 5 X 15 = 75° and 7x = 15x17 = 105°