Question

Two supplementry angles differ by 70°. Find the measure of smaller one.

(A) 55°
(B) 65°
(C) 125°
(D) 85°

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Answer 1

☆Correct Answer:-

(A) 55°

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☆Explanation:-

Let the smaller angle be x°.

Since the two angles differ by 70°, The bigger angle will be x+70

We know that sum of the supplementary angles is 180°

We  have,

⤞ x+(x+70)=180°

⤞ 2x+70=180

⤞ 2x=180-70

⤞ 2x=110

⤞ x=$\frac{110}{2}$

⤞ x=55

∴ The smaller angle is 55°

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The bigger angle will be x+70

So, 55+70 = 125

The bigger angle is 125°

Answer 2

Answer:

The answer is (A) 55°

Step-by-step explanation:

Let the smallest angle be as ' x '

As the two angles given differ by 70° so, the bigger angle be ( x+70°)

[As we know that sum of supplementry angle is 180°] so,

x° + ( x + 70°)= 180°

x°+ x° + 70° = 180°

2x° + 70° = 180°

2x° = 180° - 70°

= 110°

Therefore, x° = 110/2

= 55°