Question

If 2 angles forming a linear pair are in the ratio 2:4,the measure of the greater angle is

Answer 1

Answer:

Step by step explaination

Step-by-step explanation:

First of all take the ratio and the sum of linear pair is always 180 °

So it will be like this

For 2

let 2 be 2x and 3x

So the equation will be

2x+4x=180°

6x=180°

x=180/6

value of x= 30°

So for 2x it will be

x=30

2 x 30 = 60°

for 4x it will be

4 x 30 = 120°

So the value of 2:4 is

60:120

value of 2 is 30°

value of 4 is 120°

for checking you can add them

120+60

=180°

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Answer 2

Answer:

$\boxed{\boxed{Measure \:of\: the\: greater \:angle\: is\: 120\: Degree}}$

Step-by-step explanation:

$\huge \text{GIVEN}$

2 angles forming a linear pair are in the ratio 2:4

ANSWER

Let the two angles be 2x and 4x respectively.

∵ It is given that they form a linear pair, 2x + 4x = 180°

$\bigstar$ [Sum of two angles which forms a linear pair is 180°]

2x+4x = 180°

6x = 180°

x = 180/6 = 30°

∵  x = 30°

2x = 2×30 = 60°

4x = 4×30 = 120°