Question

ERCISE 11.2
Two angles of a triangle are in the ratio 2 : 3 and third angle is 60°. Find the other two angles of the
triangle.
​

Answer 1

Answer:

48° , 72°

Step-by-step explanation:

60 + 2x + 3x = 180

60 + 5x = 180

5x = 120

x = 120 / 5

 = 24

∠1 = 2 x 24 = 48°

∠2 = 3 x 24 = 72°

Answer 2

given

ratio of two sides 2 : 3

third angle ,= 60°

as we know

so sum of angles of triangle = 180

then let other two angle be x

ie 2x and 3x

$then \: 2x + 3x + 60 = 180 \\ \\ 5x = 180 - 60 \\ \\ 5x = 120 \\ \\x = \frac{120}{5} \\ \\ x = 24 \: \\ \\ then \: other \: two \: angles \: \\ \\ 2x = 2(24) \\ 48 \\ \\ 3x = 3(24) \\ 72 \\ \\ so \: other \: two \: angles \: be \: 48 \: and \: 72 \: degree \: respectively \:$

hope it helps you

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