Question

Solve for x in the diagram below

Answer 1

Answer: x = 12

Explanation:

The angles in the fig. are complimentary.

Therefore,
=> x + 42 + 3x = 90
= x + 3x = 90 - 42
= 4x = 48
=> x = 12

Therefore, x = 12

Additionally, finding both the angles :-

=> x + 42
= 12 + 42
=> 54 degrees

=> 3x
= 3 * 12
=> 36 degrees

Verification:

= 54 + 36 = 90
=> 90 = 90
LHS = RHS

Answer 2

x = 12

Explanation:

The adjacent angles form a complementary angle.

The property of such angles is their sum is equal to 90 degrees.

• x + 42 + 3x = 90
• 4x = 48
• x = 12