Question

Among two supplementary angles the measure of the larger angle is 400 more than the

Answer 1

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Answer:

  70° and 110°

Step-by-step explanation:

The sum of angles is 180°; their difference is 40°. So, the larger is ...

  (180° +40°)/2 = 110°

The smaller is 180° -110° = 70°

The two angles are 70° and 110°.

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Above, we have "cut to the chase." If you let the larger be 'a' and 's' and 'd' represent the sum and difference, you have ...

  a + (a-d) = s . . . . the sum of the larger and smaller angles

  2a = s+d . . . . . .  add d

  a = (s+d)/2 . . . . the relation we used.