Math, asked by shristhi526, 4 days ago

If a - b = 80° and a and b form a pair of linear pair angles, find the values of a and b. ​

Answers

Answered by harshithsaivemula14
2

Answer:

Step-by-step explanation:

a=b+80

so b+80+b=180

2b=100

b=50

a=130

Answered by devindersaroha43
2

Answer:

Step-by-step explanation:

Hint: We know that the sum of the measures of the angles of a linear pair is always 180°. In other words, a linear pair is supplementary.

Complete step-by-step answer:

Two angles are said to be linear if they are adjacent and are formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

As ∠POR and ∠QOR are forming a linear pair and the difference between the angles ‘a’ and ‘b’ is 80°, therefore, b = (a – 80)

a + b = 180° (linear pair)

a + (a – 80) = 180°

a + a – 80 = 180°

2a = 260°

a = 130°

Therefore, b = (a – 80) =130 – 80 = 50°

Hence, the answer is (b) a = 130°, b = 50°

Note: Many students get confused between adjacent angles and linear pairs.

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.

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