Mathematics
Two supplementary angles differ by 42°. One of these angles is
- 57°
- 69°
- 75°
- 81°
Linear Eqns One Variable
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Answer
Let the required angles be x° and (x + 42)°.
Since the sum of supplementary angles is 180°, we have:
x + (x + 42) = 180
⇒ x + x + 42 = 180 [Removing brackets]
⇒ 2x + 42 = 180
⇒ 2x = 180 - 42 [Transposing +42 to RHS]
⇒ 2x = 138
⇒ x = 69°
Hence, option 2 is the correct option.
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