Question

In the adjoining figure find the value of k Give reason ​

Answer 1

Given -

Angles - k, 90°,2k, 3k

Solution -

K+90+2k+3k= 360°(total circle-360°)

= 6k =360-90

= 6k = 270

=k = 270÷6

= k =45°

Required Answer -

➡k= 45°

➡2k=45×2= 90°

➡3k = 45×3= 135°

Answer 2

k = 45

STEP BY STEP EXPLANATION :-

by angle sum property,

here every angle when added forms 360° or a full round.

so,

90° +3k +2k +k = 360°

90° +6k = 360°

6k = 360° - 90 °

k =

$\frac{270}{6}$

k= 45

now, if you want angles , then

k = 45°

2k = 2(45) = 90°

3k = 3(45) = 135°

hope helps.

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