Question

solve 5th question imideatly plzz

Answer 1

Given that one angle is 15° less than twice the second angle. So, if first angle is x then the other one = 2x - 15


We know that opposite angles are equal in a ||gm. So,the four angles would be
x, 2x - 15, x, 2x - 15

Now, the sum of angles of a ||gm is 360°

=> x + 2x - 15 + x + 2x - 15 = 360

=> 6x - 30 = 360

=> 6x = 360 + 30

=> 6x = 390

=> x = 390/6

=> x = 65°

So, other angle = 2(65) - 15

=> other angle = 130 - 15

=> other angle = 115°

So the angles are:-

65, 115, 65 and 115°

Answer 2

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$\huge{\bold{\mathfrak{Ans:-}}}$

Let the smallest angle of the ||gm be x

Acc. To Ques

Another angle is 15 less than twice the smallest angle

so, the another angle = 2x - 15°

As we know that opp angles of a ||gm are equal so,

with reference to fig.

Angle ABC = Angle ADC=2x - 15

Angle BAD= angleBDC=x

So,

sum of all the angles of a ||gm = 360°
=>x + x + 2x - 15 + 2x - 15=360°

=>6x -30=360°

=>6x = 360°+30°

=>x= 390°/6

=>x = 65°

So, all the angles of the ||gm are
• 2x-15=2×65-25=105°

•x = 65°

Hence , all the angles are 65°,65°, 105, 105

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Hope It helps Uh !!....
.

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