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The amount of turn between two straight lines that have a common endpoint that is a vertex.
Different Pairs of angles
Pairs of angles made by a transversal with lines
In the given figure, AB and CD and two parallel lines (AB//CD). PQ is the transversal that intersects AB at R and CD at S.
Solution:
Here, x° + (x+10)° = 90° [The sum of a pair of complementary angles]
or, 2x° = 90° - 10°
or, x° = \(\frac{80°}{2}\) = 40°
\(\therefore\) x° = 40° and (x+10)° = 40° + 10° = 50°
Solution:
Let the required supplementary angles be 3x° and 2x°.
\(\therefore\) 3x° + 2x° = 180° [The sum of a pair of supplementary angles]
or, 5x° = 180°
x° = \(\frac{180°}{5}\) = 36°
\(\therefore\) 3x° = 3 × 36° = 108°
2x° = 2 × 36° = 72°
Solution:
Here, x° + 2x° + 3x° = 180° [Being the sum a straight angle]
or, 6x° = 180°
or, x° = \(\frac{180°}{6}\) = 30°
\(\therefore\) x° = 30°, 2x° = 2×30° = 60° and 3x° = 3×30° = 90°
Again, a° = x° = 30°, b = 2x° = 60° and c° = 3x° = 90° [Each pair is vertically opposite angles]
Solution:
w = 110° [Being vertically opposite angles]
x = w = 110° [Being alternate angles]
y = x = 110° [Being vertically opposite angles]
y + z = 180° [Being the sum of a pair of co-interior angles]
or, 110 + z = 180°
or, z = 180° - 110° = 70°
So, w = x= y = 110° and z = 70°
If x° and 112 are adjacent angles in linear pair, what is the value of x° ?
If 2a° and 3a° formed a linear pair, what will be the value of them?
Find the size of an angle which is four times its complement.
Find the size of an angle which is five times its supplement.
The amount of turn between two straight lines that have a common endpoint that is a ______ .
The sum of two angles in supplementary angles are ______ .
If the one angle of supplementary angle is 85°, then what will be other angles?
The sum of angles in complementary angles are ______ .
If the one angle of a complementary angle is 68°, then what will be other angle?
The sum of straight line is _______ .
ASK ANY QUESTION ON Angles
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