Question

5. Two supplementary angles differ by 20°. The smaller of the two measures
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Answer 1

Answer:

80°

Step-by-step explanation:

180°-20°=160°

So, 80°+80°=160°

80°+100°=180°

So, the answer is 80°

Answer 2

Step-by-step explanation:

Let x and y be two supplementary angles.

Now , let us assume that

x+y = 180 ..... (1)

Now, According to question

x-y = 20......(2)

ADD EQ. (1) AND (2)

2x =200

therefore, x= 100

putting the value of x in eq.2

100 - y = 20

100 - 20 =y

therefore, y= 80

hence , the two angles are 100 and 80 .. So , measure of angle y is smallest that is 80⁰