Question

The sum of two angles of a quadrilateral is 160 the ratio 2: 3. Find the angles.
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Answer 1

Answer:

64° & 96°

Step-by-step explanation:

GIVEN:

Sum of two angles = 160°

Ratio of both angles = 2:3

TO FIND:

Measurements of angles

SOLUTION:

Let the first angle be 2x.

Second angle = 3x

A/Q,

2x + 3x = 160°

=> 5x = 160°

=> x = 160°/5

x = 32°

Therefore, first angle = 2x = 2×32° = 64°

Second angle = 3x = 3×32° = 96°

Answer 2

Answer :-

The two angles of quadrilateral are 74° and 96°.

Step-by-step explanation:

To Find :-

• The two angles of quadrilateral whose sum of two angles is 160°.

★ Solution

Given that,

• The sum of two angles of a quadrilateral is 160° are in the ratio of 2:3

Let us assume the unknown ratio angles as (2x) and (3x),

∴ 2x + 3x = 160°

⇒ 2x + 3x = 160

⇒ 5x = 160

⇒ x = 160/5

⇒ x = 36

The value of x is 36.

Now, The angles are :-

• 2x = 2*32 = 74°
• 3x = 3*32 = 96°

Hence, The angles are 74° and 96°.