Question

If the angles (4x-20)0 and (6x +10 )0 are supplementary. Find the measure of these angles.​

Answer 1

Answer:

The angles are 56° and 124° respectively.

Step-by-step explanation:

We know that the given angles are supplementary

So, their sum is 180°

(4x-20)° + (6x+10)° = 180°

4x -20° + 6x + 10° = 180°

10x -10° = 180°

10x = 190°

x = 19°

So, putting the value of 'x' in the equations to calculate the angles

(4x - 20°)

= {(4x19°)-20°}

= 76°-20°

= 56°

(6x + 10°)

= {(6x19°)+10°}

= 114°+10°

=124°

For verification,

we know that the sum of these two angles is 180°

56°+124° = 180°

180° = 180°

So, answer is correct

Hope it helps!!

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