If a - b = 80° and a and b form a pair of linear pair angles, find the values of a and b.
Answers
Answer:
Step-by-step explanation:
a=b+80
so b+80+b=180
2b=100
b=50
a=130
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.