Question

The adjacentangles of a parallelogram are
(5X-5) and (10X + 35. Find the measure of these angles​

Answer 1

Answer:

We will have to first find the measurement of each given angles.

We know that adjacent angles of a parallelogram sums to 180°.

So,

( 5x - 5 )° + ( 10x + 35 )° = 180°

=> 5x° - 5° + 10x° + 35° = 180°

=> 15x° + 30° = 180°

=> 15x° = 180° - 30°

=> x = 150/15 = 10

Hence,

Adjacent angles are ( 5x - 5 )° and ( 10x + 35 )°

=> ( 5 * 10 - 5 )° and ( 10 * 10 + 35 )°

=> ( 50 - 5 )° and ( 100 + 35 )°

=> 45° and 135°

Now,

The required ratio = 45° / 135° = 9 / 27 = 3 / 9 = 1 / 3 = 1 : 3

Explanation:

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