Question

the ratio of two angles in a linear pair is 5:4 therefore the measure of the bigger angle is

Answer 1

Answer:

let first angle = 5x

and second angle = 4x

we know, sum of two adjacent angles =180°

so,

5x + 4x = 180°

9x = 180°

x = 20°

so, first angle = 5x = 5×20=100°

second angle = 4x =4×20= 80°

Step-by-step explanation:

Answer 2

Answer:

80°, 100°

Step-by-step explanation:

We know that the sum of the bigger angle and the smaller angle is 180°, as it is mentioned that the angles form a linear pair. So, the formula will be ..

4x + 5x = 180

9x         = 180

x            = 180/9

x            = 20

∴ SMALLER ANGLE = 20 x 4 = 80°

∴ BIGGER ANGLE    = 20 x 5 = 100°

Verification:

Angle1 + Angle2 = 180

80 + 100              = 180

180                       = 180

∴ Verified

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