The adjacent angles are in ratio 5 : 3 and form a linear pair , find the value of the angles .

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Solution

Let first angle = 5x
and second angle = 3x

we know, sum of two adjacent angles =180°

so,
5x + 3x = 180°
8x = 180°
x = 22.5°

so, first angle = 5x = 5×22.5 =112.5°
second angle = 3x =3 x 22.5 = 67.5°

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(i) Complementary angles that are not adjacent.

(ii) Angles in a linear pair which are not supplementary.

(iii) Complementary angles that do not form a linear pair.

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(v) Angles which are neither complementary nor adjacent.

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The adjacent angles are in ratio 5 : 3 and form a linear pair , find the value of the angles .

Let first angle = 5x and second angle = 3x we know, sum of two adjacent angles =180° so, 5x + 3x = 180° 8x = 180° x = 22.5° so, first angle = 5x = 5×22.5 =112.5° second angle = 3x =3 x 22.5 = 67.5°

Let first angle = 5x
and second angle = 3x

we know, sum of two adjacent angles =180°

so,
5x + 3x = 180°
8x = 180°
x = 22.5°

so, first angle = 5x = 5×22.5 =112.5°
second angle = 3x =3 x 22.5 = 67.5°