Question

AAKASH INSTITUTE,
CLASS 9

If 4angle A = 2angle B = angle C, angle A and Angle B are complementary angles and Angle B and angle C and supplementary angles then the measure of Angle A Angle B and angle C are respectively.___

Please answer correctly.​

Answer 1

Answer:

<a = 30°, <b = 60° and <c = 120°

Step-by-step explanation:

4<a = 2<b = <c

it is given that <a + <b = 90° —>( 1) <b + <c = 180° —> (2)

now let take first 4<a = 2<b so. 2<a = <b —>(3)

subsitute the value of <b in equation (1)

<a + 2<a = 90° —> so 3<a = 90° —> <a = 30°

now put value of <a in equation (3) :—

2<a = <b —> 2(30°) = <b —> 60°

now subsitute the value of <b in equation (2) :—

<b + <c = 180°

60° + <c = 180°

<c = 120°

answer :—

<a = 30° , <b = 60° and <c = 120°