Question

Example 3: Find the angle, which is one-third of its supplemen
be​

Answer 1

Answer:

45°

Step-by-step explanation:

• one angle be x
• other angle be (1/3)x
• supplementary angles = 180°

$x + \frac{1}{3} \times x = 180 \\ \frac{3x + x}{3} = 180 \\ \frac{4x}{3} = 180 \\ 4x = 180 \times 3 \\ x = \frac{180 \times 3}{4} \\ x = 135$

one third of 135 is (1/3)×135 = 45°