Question

The ratio of the measures of two supplementary angles is 4:5

Answer 1

Answer:

80, 100

Step-by-step explanation:

$4x + 5x = 180$

$9x = 180$

$x = \frac{180}{9} = 20$

Therefore,

First angle = 4 x 20 = 80,

Second angle = 5 x 20 = 100.

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Answer 2

Let two angles be 4x and 5x
Sum of supplementary angles is 180
o

∴4x+5x=180
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9x=180
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x=
9
180
​
=20
o

So, one angle = 4x=4×20=80
o

Another angle = 5x=5×20=100
o

Larger of two angle is 100
o

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