Question

Mark the correct alternative in each of the following:
1. The sum of an angle and one third of its supplementary angle is 90°: The measure of the
angle is
(a) 135°
(b) 120°
(c) 60°
​

Answer 1

Answer:

Let, required angle be x and its supplementary angle be (180−x).

∴∠x+∠(180−x)=1800

According to condition, the sum of an angle and one third of its supplementary angle is 900

∠x+31∠(180−x)=900

∠x+31(1800−x)=900

32∠x+600=900

32∠x=300

∠x=450

∴ measure of a required angle is 450

Answer 2

Answer:

bc

Step-by-step explanation:

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