Question

Q. If two supplementary angles the measure of one angle is 6 more than twice the measure of the other find the measure of these two angles
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PLZ anyone explain the question step by step​

Answer 1

Step-by-step explanation:

Given:-

two supplementary angles the measure of one angle is 6 more than twice the measure of the other .

To find:-

find the measure of these two angles?

Solution:-

Let the measure of the other angle be X °

Then the measure of one angle = 6 more than twice the other angle = (2X+6)°

Since they are Supplementary angles

So their sum is 180°

=>one angle +other angle = 180°

=>(2X+6)°+X° = 180°

=>(2X°+X°)+6° = 180°

=>3X° +6° = 180°

=>3X° = 180° -6°

=>3X° = 174°

=>X° = 174°/3

=>X° = 58°

Then

(2X+6)° = 2(58°)+6°

=>116°+6°

=>122°

The two angles = 58° and 122°

Answer:-

The measurements of the two angles are

58° and 122°

Check:-

The two angles 58° and 122°

Their sum = 58°+122° =180°

122° = 116°+6°

122° = 2(58°)+6°

One angle = 6 more than twice the other angle

Used formulae:-

• The sum of two angles is 180° are called Supplementary angles.

Answer 2

Answer:

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