Let ratio constant k
Pip: 3k
Angad: k
Nick: k
Pip gets 36 more than Nick
3k-k=36
k=18
All together:
3k+k+k
=5k
=5(18)
=90
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Answer:
∠1 = 67°; ∠2 = 113°
Step-by-step explanation:
<u>Given</u>:
∠1 = 2x-3
∠2 = 3x +8
∠1 +∠2 = 180
<u>Find</u>:
∠1, ∠2
<u>Solution</u>:
Substituting the first two relations into the third, we have ...
(2x -3) +(3x +8) = 180
5x +5 = 180 . . . eliminate parentheses
x + 1 = 36 . . . . . divide by 5
x = 35
Then the angles are ...
∠1 = 2x-3 = 2(35) -3
∠1 = 67°
∠2 = 3x +8 = 3(35) +8
∠2 = 113°
Two angles are supplementary if they add up to 180 degrees.
Given the angle 76 degrees, the supplement is 180-76 degrees, or 104 degrees.
