Question

the angles of quadrileteral are in the ratio 1:2:3:4the largest angle is​

Answer 1

$\huge\mathfrak {Answer:}$

Interior angles of quadrilateral = 360°

According To Question,

1x + 2x + 3x + 4x = 360

→ 10x = 360

→ x = 360/10

→ x = 36

And the angles are:

1x = 36

2x = 36 × 2 = 72

3x = 36 × 3 = 108

4x = 36 × 4 = 144

That gives us the largest angle as

144°

$\mathfrak\purple {Hope\: this\: helps\: you...}$

Answer 2

AnswEr :-

» » » 144°

Given :-

• The angles of a quadrilateral are in the ratio 1:2:3:4.

To Find :-

• Measure of the largest angle nn

SoluTion :-

Put x in the ratio

Angles are,

• 1x
• 2x
• 3x
• 4x

As we know that the sum of all angles of a quadrilateral is 360°

According to question :-

1x + 2x + 3x + 4x = 360°

→ 10x = 360°

→ x = 360°/10

→ x = 36°

Now, angles are

• 1x = 1 × 36 = 36°
• 2x = 2 × 36 = 72°
• 3x = 3 × 36 = 108°
• 4x = 4 × 36 = 144°

Hence, the largest angle is 144°.

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