Question

two angles of quardilateral are 70 and 40.reamining angles are in ratio 2:3.find all angles

Answer 1

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angle 1 = 70°
angle 2 = 40°
angle 3 = 2x°
angle 4 = 3x°

according to angle sum property of quad.
40 +70 + 2x +3x = 360
110 + 5x = 360
5x = 250
x = 50

so,
angle 3 = 2 × 50
= 100°
angle 4 = 3 × 50
= 150°

Answer 2

STEP 1: Find the sum of the other 2 angles:

Sum of angles in a quadrilateral = 360°

Given that the two angles are 70° and 40°.

⇒ The sum of the other 2 angles = 360 - 70 - 40 = 250°

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STEP 2: Find x

The two angles are in the ratio 2 : 3

The sum of the two angles is 250

2x + 3x = 250

5x = 250

x = 50

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STEP 3: Find the angles:

2x = 2(50) = 100

3x = 3(50) = 150

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Answer: The two angles are 100 and 150