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Question
In the following figure, POR is a line. The value of a is ______.
Options
40°
45°
55°
60°
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Solution
In the following figure, POR is a line. The value of a is 40°.
Explanation:
We know that, when the sum of the measures of two angles is 180°, then the angles are called supplementary angles.
⇒ (3a + 5)° + (2a – 25)° = 180°
⇒ 3a + 5 + 2a – 25° = 180°
⇒ 5a – 20° = 180°
⇒ 5a = 180° + 20°
⇒ 5a = 200°
⇒ a = `200^circ/5`
⇒ a = 40°
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