find the measure of other angle,if the measure of one angle of linear pair is 121°
Answers
Step-by-step explanation:
\mathfrak{\large{\underline{\underline{Answer :-}}}}
Answer:−
The angles are 140° and 40°
\mathfrak{\large{\underline{\underline{Explanation:-}}}}
Explanation:−
Given :
Measure of one angle = less than other Angle by 100
The angles are Linear Pairs
To Find :
The Measures of both the angles
Solution :
Consider -
One Angle as x
Second angle as x - 100
Linear Pairs are the adjacent angles which sum up and make 180°. They can be said as pair of adjacent Supplementary Angles.
★ x + (x - 100) = 180°
\longrightarrow⟶ x + (x - 100) = 180
\longrightarrow⟶ x + x - 100 = 180
\longrightarrow⟶ 2x - 100 = 180
\longrightarrow⟶ 2x = 180 + 100
\longrightarrow⟶ 2x = 280
\longrightarrow⟶ x = 280/2
\longrightarrow⟶ x = 140
One angle is 140°.
\rule{300}{1.5}
★ Value of (x - 100)
\longrightarrow⟶ 140 - 100
\longrightarrow⟶ 40
Second angle is 40°.
\therefore∴ The angles are 140° and 40°.
\rule{300}{1.5}
\mathfrak{\large{\underline{\underline{Verification :-}}}}
Verification:−
Add the angles and check if they sum up 180° or not.
\longrightarrow⟶ 140 + 40
\longrightarrow⟶ 180
\therefore∴ The angles are 140° and 40°.
Answer:
Sum of Angles in a linear pair = 180°
Therefore, measure of other Angle = 180° - 121° = 59°
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