Two supplementary angles measure 2 a - and 3 a - respectively- What is the measure of each angle-A- 80- and 100-B- 50- and 130-C- 72- and 108-D- 65- and 115-

The correct option is C 72^∘ and 108^∘Sum of supplementary angles = nbsp;180^∘ 2a + 3a = nbsp;180^∘ 5a = nbsp;180^∘ a = nbsp;36^∘ ∴ The angles measure ...

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Standard VII

Mathematics

Supplementary Angles

Two supplemen...

Question

Two supplementary angles measure $2 a^{\circ}$ and $3 a^{\circ}$ respectively. What is the measure of each angle?

80^{\circ}

and

100^{\circ}

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72^{\circ}

and

108^{\circ}

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65^{\circ}

and

115^{\circ}

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50^{\circ}

and

130^{\circ}

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Solution

The correct option is B $72^{\circ}$ and $108^{\circ}$
Sum of supplementary angles = $180^{\circ}$
2a + 3a = $180^{\circ}$
5a = $180^{\circ}$
a = $36^{\circ}$
$∴$ The angles measure 2a = $72^{\circ}$ and 3a = $108^{\circ}$

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Question 26

If the exterior angle of a triangle is $130^{\circ}$ and its interior opposite angles are equal, then measure of each interior opposite angle is

a) $55^{\circ}$
b) $65^{\circ}$
c) $50^{\circ}$
d) $60^{\circ}$

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Two supplementary angles measure 2a∘ and 3a∘ respectively. What is the measure of each angle?

The correct option is B 72∘ and 108∘Sum of supplementary angles = 180∘ 2a + 3a = 180∘ 5a = 180∘ a = 36∘ ∴ The angles measure 2a = 72∘ and 3a = 108∘

Two supplementary angles measure $2 a^{\circ}$ and $3 a^{\circ}$ respectively. What is the measure of each angle?

The correct option is B $72^{\circ}$ and $108^{\circ}$
Sum of supplementary angles = $180^{\circ}$
2a + 3a = $180^{\circ}$
5a = $180^{\circ}$
a = $36^{\circ}$
$∴$ The angles measure 2a = $72^{\circ}$ and 3a = $108^{\circ}$