(C) Two angles are said to be complementary if their sum is $90^{\circ}$.Given that $\angle A + \angle B = 90^{\circ}$.Also,the ratio $\angle A : \ang

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$\angle A = 15^{\circ}, \angle B = 75^{\circ}$

(C) Two angles are said to be complementary if their sum is $90^{\circ}$.Given that $\angle A + \angle B = 90^{\circ}$.Also,the ratio $\angle A : \angle B = 1 : 5$. Let $\angle A = x$ and $\angle B = 5x$.Substituting these into the sum equation: $x + 5x = 90^{\circ}$.$6x = 90^{\circ}$.$x = 90^{\circ} / 6 = 15^{\circ}$.Therefore,$\angle A = 15^{\circ}$ and $\angle B = 5 \times 15^{\circ} = 75^{\circ}$.

Class 9 Mathematics Lines and Angles Mix Examples - Lines and Angles

Medium

$\angle A$ and $\angle B$ are complementary angles. If $\angle A : \angle B = 1 : 5$,then find $\angle A$ and $\angle B$.

A
$\angle A = 30^{\circ}, \angle B = 80^{\circ}$
B
$\angle A = 30^{\circ}, \angle B = 50^{\circ}$
C
$\angle A = 15^{\circ}, \angle B = 75^{\circ}$
D
$\angle A = 25^{\circ}, \angle B = 70^{\circ}$

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Class 9

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Lines and Angles

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Mix Examples - Lines and Angles

Find the measure of the complementary angle of the supplementary angle of an angle having measure $128^{\circ}$. (in $^{\circ}$)

Easy

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Ray $BD$ is the bisector of $\angle ABC$ and ray $BE$ is the bisector of $\angle DBC$. If $\angle EBC = 19^{\circ},$ then find $\angle DBC, \angle ABC$ and $\angle ABE$.

Medium

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Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.

Medium

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$\angle ABD$ and $\angle ACE$ are exterior angles of $\Delta ABC$. If $\angle ABD = 140^{\circ}$ and $\angle ACE = 80^{\circ}$,then find $\angle A$. (in $^{\circ}$)

Medium

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$\angle ABC$ and $\angle ABD$ are a linear pair of angles. If $\angle ABC : \angle ABD = 17 : 13$,then find $\angle ABC$ and $\angle ABD$.

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$\angle A$ and $\angle B$ are complementary angles. If $\angle A : \angle B = 1 : 5$,then find $\angle A$ and $\angle B$.

Similar Questions

Find the measure of the complementary angle of the supplementary angle of an angle having measure $128^{\circ}$. (in $^{\circ}$)

Ray $BD$ is the bisector of $\angle ABC$ and ray $BE$ is the bisector of $\angle DBC$. If $\angle EBC = 19^{\circ},$ then find $\angle DBC, \angle ABC$ and $\angle ABE$.

Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.

$\angle ABD$ and $\angle ACE$ are exterior angles of $\Delta ABC$. If $\angle ABD = 140^{\circ}$ and $\angle ACE = 80^{\circ}$,then find $\angle A$. (in $^{\circ}$)

$\angle ABC$ and $\angle ABD$ are a linear pair of angles. If $\angle ABC : \angle ABD = 17 : 13$,then find $\angle ABC$ and $\angle ABD$.

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