Question

the sum of 3 angles (5a+4) , (a-2) , (3a+7) forms a straight angle find the types of angles​

Answer 1

Given that :-

Sum of three angles form a straight line Their angles are (5a + 4) , ( a -2 ) , (3a + 7 )

To find :-

Three angles

Solution:-

As they given sum of the three angles forms a straight line Hence , their sum must be equal to 180°

5a + 4 + a - 2 + 3a + 7 = 180°

Keep like terms together

5a + a + 3a + 4 - 2 + 7 = 180°

9a + 9 = 180°

9 ( a +1 ) = 180°

a + 1 = 20

a = 19°

Finding angles :-

5a + 4 = 5(19) + 4

= 95 + 4

= 99°

a -2 = 19-2

=17°

3a + 7 = 3(19) + 7

= 57 + 7

=64°

Required angles are: 99° , 17°, 64°

Verification:-

Hence their sum should be equal to 180°

99° + 17° +64° = 180°

180° = 180°

LHS = RHS

Verified!