Question

Two angles are supplementary. One angle measures (2x-10) degrees.
The other angle measures (4x-15) degrees. Find the value of x and give the
values of angles​

Answer 1

Required Answer :

• The value of x = 34.16
• First angle = 58°
• Second angle = 122°

Given :

• Two angles are supplementary
• Measure of the first angle = (2x - 10)°
• Measure of the second angle = (4x - 15)°

To find :

• The value of x
• The measure of both the angles

Solution :

Supplementary angles are those angles whose sum is equal to 180°.

→ (2x - 10)° + (4x - 15)° = 180°

→ 2x° - 10° + 4x° - 15° = 180°

→ 6x° - 25° = 180°

→ 6x° = 180° + 25°

→ 6x° = 205°

→ x = 205°/6

→ x = 34.16

Substituting the value of 'x' in the two angles :-

→ First angle = (2x - 10)°

→ First angle = (2 × 34.16 - 10)°

→ First angle = (68.32 - 10)°

→ First angle = 58.32°

After rounding off, we get :-

→ First angle = 58°

→ Second angle = (4x - 15)°

→ Second angle = (4 × 34.16 - 15)°

→ Second angle = (136.64 - 15)°

→ Second angle = 121.64

After rounding, we get :-

→ Second angle = 122°