Question

If the angles (12x +27) degree and (6x +9)degree are supplementary , find the measure of these angles

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• Angles =  (12x +27) and (6x +9) degrees.

To find :

• find the measure of these angles

Solution:

⇒ Let's find the angles.

→ (12x + 27) + (6x + 9) = 180°

→ (12x + 6x) + (27 + 9) = 180°

→ (18x) + (36) = 180°

→ 18x + 36 = 180°

→ 18x = 180°- 36

→ 18x = 144

→ x = 144/18

→ x = 8

⇒ Measure of angles :

→ (12x + 27) = (12 × 8 + 27)

= 96 + 27

= 123 degrees

→ (6x + 9) = (6 × 8 + 9)

= 48 + 9

= 57 degrees

• Therefore, the measure of these angles is 123 degrees and 57 degrees.