In Fig, OA and OB are opposite rays. If x = 25°, what is the value of

1.	In Fig, OA and OB are opposite rays. If x = 25°, what is the value of y?
Answer» ∠AOC + ∠BOC = 180° [The two adjacent angles are said to form a linear pair of angles if their non–common arms are two opposite rays and sum of the angle is 180°] 2y + 5° + 3x = 180° 3x + 2y = 175° Given If x = 25°, then 3(25°) + 2y = 175° 75° + 2y = 175° 2y = 175° – 75° 2y = 100° y = 100°/2 y = 50°

In Fig, OA and OB are opposite rays. If x = 25°, what is the value of y?

Answer»

∠AOC + ∠BOC = 180° [The two adjacent angles are said to form a linear pair of angles if their non–common arms are two opposite rays and sum of the angle is 180°]

2y + 5° + 3x = 180°

3x + 2y = 175°

Given If x = 25°, then

3(25°) + 2y = 175°

75° + 2y = 175°

2y = 175° – 75°

2y = 100°

y = 100°/2

y = 50°

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In Fig, OA and OB are opposite rays. If x = 25°, what is the value of y?

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