When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°. Hence, a linear pair of angles always add up to 180°.
•Anglesumproperty:-
According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees. A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles. The angle sum property is used to find the measure of an unknown interior angle when the values of the other two angles are known.
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★ Concept ★
• Linear Pair :-
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°. Hence, a linear pair of angles always add up to 180°.
• Angle sum property :-
According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees. A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles. The angle sum property is used to find the measure of an unknown interior angle when the values of the other two angles are known.
★ Answer ★
In large traingle,
x + 80° + 52° = 180° [Angle Sum Property]
» x = 180° - 132°
» x = 48°
143° + z = 180° [Linear Pair]
» z = 37°
By Angle sum property in small traingle,
x + y + z = 180°
» 48° + y + 37° = 180°
» y = 95°
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