Question

one angle of a quadrilateral is 150 and 3 angles are equal. find the measures of the other three angles​

Answer 1

Answer:

70°, 70°, 70°

Step-by-step explanation:

Let the each equal angle be 'x'.

Sum of all angles of quadrilateral is 360°

⇒ 150 + x + x + x = 360

⇒ 150 + 3x = 360

⇒ 3x = 360 - 150

⇒ 3x = 210

⇒ x = 210/3

⇒ x = 70°

 Value of each equal angle is 70°.

Answer 2

Answer:

• 70° , 70° , 70°

Step-by-step explanation:

Given

• One angle of a quadrilateral is 150° and rest 3 angles are equal.

To find

• Measure of all the three angles of the quadrilateral.

Solution

Let the 3 remaining angles be x° and the first angle is 150°.

We know, sum of all the angles in a quadrilateral is equal to 360°.

• x° + x° + x° + 150° = 360°
• 3x° + 150° = 360°
• 3x° = 210°
• x° = 210°/3
• x° = 70°

Hence, the other angles are 70° , 70° , 70°.

Verification

• 150° + 70° + 70° + 70° = 360°
• 150° + 210° = 360°
• L.H.S = R.H.S