The angles of a quadrilateral are in the ratio of 1:3:1:3 Find the measure of each angle
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The angles of a quadrilateral are in the ratio of 1:3:1:3 Find the measure of each angle
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Let the angle be x
x + 3x + x + 3x = 360
8x = 360
x = 360/8
x = 45°
Angle 1 = 45°
Angel 2 = 135°
Angle 3 = 45°
Angle 4 = 135°
Verified answer
Answer:
45° , 135°, 45°, 135°
Step-by-step explanation:
Given , the angles of a quadrilateral ABCD are in the ratio 1:3:1:3
Let ∠A = 1x ∠B = 3x ∠C = 1x ∠D = 3x
In a quadrilateral ∠A+∠B+∠C+∠D = 360°
⇒ 1x + 3x + 1x + 3x = 360°
⇒ 8x = 360
⇒ x = 360 ÷ 8 = 45
So , the angles of the quadrilateral is
∠A = (1 × 45)° = 45°
∠B = (3 × 45)° = 135°
∠C = (1 × 45)° = 45°
∠D = (3 × 45)° = 135°