The sum of two angles is 90- and the difference between them is 10- Then the smaller angle is

The correct option is A 40oLet the smaller angle be x Then the other angle will be 900 x Difference between two angles is 100. Thus, 900 x x = 100 i.e. 2 ...

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Standard VII

Mathematics

Angle Bisector and It's Construction

The sum of tw...

Question

The sum of two angles is 90^o and the difference between them is 10^o. Then the smaller angle is

40^o

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64^o

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54^o

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60^o

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Solution

The correct option is A
40^o

Let the smaller angle be x

Then the other angle will be 90⁰ - x

Difference between two angles is 100.

Thus, 90⁰ - x - x = 10⁰

i.e. 2x = 90⁰ - 10⁰

i.e. 2x = 80⁰

i.e. x = 40⁰

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The sum of two angles is 90o and the difference between them is 10o. Then the smaller angle is

The correct option is A 40oLet the smaller angle be x Then the other angle will be 900 - x Difference between two angles is 100. Thus, 900 - x - x = 100 i.e. 2x = 900 - 100 i.e. 2x = 800 i.e. x = 400

The sum of two angles is 90^o and the difference between them is 10^o. Then the smaller angle is

The correct option is A
40^o

Let the smaller angle be x

Then the other angle will be 90⁰ - x

Difference between two angles is 100.

Thus, 90⁰ - x - x = 10⁰

i.e. 2x = 90⁰ - 10⁰

i.e. 2x = 80⁰

i.e. x = 40⁰