1.

Two angles are supplementary and one angle is 18* greater than the other. Find the measure of each angle

Answer»

★Given :

  • TWO ANGLES are supplementary.
  • One angle is 18° greater than the other.

★To FIND :

  • Measure of each angle.

★Solution :

LET the measure of one angle is 'x'.

As one angle is 18° greater than the other,

The measure of another angle is x+18.

Given that the two angles are supplementary.

Hence they add upto 180°.That is,

→x+x+18=180

→2x + 18 = 180

→2x = 162

→x = 162/2

→x=81°

Therefore,

Measure of another angle:

→x + 18  

→81 + 18

→99°

Hence,the angles are 81° & 99°.

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