The angles of quadrilateral are in the ratio 1:2:3 and the sum of the

1.	The angles of quadrilateral are in the ratio 1:2:3 and the sum of the smallest and the greatest angle is 180° find all angles of the quadrilateral
Answer» ong>Answer: Dear Student, ● Answer - 45°, 90°, 90° and 135° ◆ Explanation - Given that 3 angles are in ratio 1:2:3. LET x be common multiple such that angles become x, 2x and 3x. We have, sum of SMALLEST angle and greatest angle is 180 degree. x + 3x = 180° 4x = 180° x = 180°/4 x = 45° These 3 angles become, x = 45° 2x = 2×45 = 90° 3x = 3×45 = 135° Sum of all angles of QUADRILATERAL is 360°. 45° + 90° + 135° + 4th angle = 360° 270° + 4th angle = 360° 4th angle = 360° - 270° 4th angle = 90° So four angles of quadrilateral are 45°, 90°, 90° and 135°. Step-by-step explanation: PLEASE mark as brainliest answer and follow me please and THANK me please Because I am a very good boy

The angles of quadrilateral are in the ratio 1:2:3 and the sum of the smallest and the greatest angle is 180° find all angles of the quadrilateral

Answer»

ong>Answer:

Dear Student,

● Answer -

45°, 90°, 90° and 135°

◆ Explanation -

Given that 3 angles are in ratio 1:2:3. LET x be common multiple such that angles become x, 2x and 3x.

We have, sum of SMALLEST angle and greatest angle is 180 degree.

x + 3x = 180°

4x = 180°

x = 180°/4

x = 45°

These 3 angles become,

x = 45°

2x = 2×45 = 90°

3x = 3×45 = 135°

Sum of all angles of QUADRILATERAL is 360°.

45° + 90° + 135° + 4th angle = 360°

270° + 4th angle = 360°

4th angle = 360° - 270°

4th angle = 90°

So four angles of quadrilateral are 45°, 90°, 90° and 135°.

Step-by-step explanation:

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