Question

angles of a quadrilateral are 60 ° , 90 ° . what is the measure of third angles​

Answer 1

Answer:

The measure of third angle of a quadrilateral is 210°.

Step-by-step explanation:

Given :

• First angle = 60°
• Second angle = 90°

To calculate :

• The measure of third angle.

Calculation :

Assumption: Let us assume the measure of third angle as x

Now, as we know that,

• Sum of all sides of a quadrilateral = 360°

So,

⇒ 60° + 90° + x = 360°

⇒ 150° + x = 360°

⇒ x = 360° - 150°

⇒ x = 120°

Therefore, the measure of third angle is 120°.

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V E R I F I C A T I O N :

Now, let's check whether the measure of all the three angles sum ups to 360° or not.

We know that,

• Sum of all angles in a quadrilateral = 360°

Put the values,

⇒ 60° + 90° + 210° = 360°

⇒ 150° + 210° = 360°

⇒ 360° = 360°

∴ L.H.S = R.H.S

Hence, verified!

Answer 2

Given :

• First Angle = 60°
• Second Angle = 90°
• Shape = Quadrilateral

To Find :

• The Third Angle

Solution :

✰ Before starting the Question, we have to keep one thing in our mind that Sum of all the angles of a Quadrilateral is 360° . Now in this question, Two angles of a Quadrilateral are given and we have to find the third angle, so simply we will apply Angle Sum Property of Quadrilateral to find the third side.(Let's assume the third angle be A)

⠀⠀⠀

⠀⟼⠀Angle Sum Property = 360°

⠀⟼⠀60° + 90° + A = 360°

⠀⟼⠀150° + A = 360°

⠀⟼⠀A = 360° - 150°

⠀⟼⠀A = 210°

⠀⠀⠀

Thus the Third angle of the Quadrilateral is 210°

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