Question

a quadrilateral has 3 angle measuring 70° 50° and 125° . What is the measure of the fourth angle?​

Answer 1

Answer -

• The measure of the fourth angle = 115°.

To find -

• The measure of the fourth angle.

Step-by-step explanation -

• Here, the measurements of three angles of a quadrilateral are given to us. We have to find the measure of the fourth angle!

We know that -

$\bigstar \: \underline{\boxed{\sf Sum \: of \: all \: angles_{(quadrilateral)} = 360^{\circ}}}$

Here -

• The three angles are 70°, 50° and 125°.

Let -

• The fourth angle be "y".

Then -

$\leadsto \bf y + 70 + 50 + 125 = 360$

$\bf\leadsto y + 245 = 360$

$\leadsto \bf y = 360 - 245$

$\leadsto \bf y = {115}^{ \circ}$

Hence -

• The measurement of the fourth angle = 115°.

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

$\bigstar$ Sum of all the angles of a quadrilateral = 360°.

So, to check our answer, let's add up the measurements of all the angles and see whether we get 360°.

Here -

• The angles are 70°, 50°, 125° and 115°.

Now -

• 70° + 50° + 125° + 115° = 360°.

We got 360° after adding up the measurements of all the angles.

Hence verified!!

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Answer 2

Answer:

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➼ Given-:

✯ Three angles of a quadrilateral are:-

• 70⁰
• 50⁰
• 125⁰

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➼ To Find-:

✯ Measure of Fourth angle of a quadrilateral = ?

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➼ Calculation-:

• Let the fourth angle of a quadrilateral be x⁰

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✯ As we know that,

↦ Sum of all angles of a quadrilateral is 360⁰

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➜ Finding Measure Fourth Angle of a Quadrilateral:-

x⁰ + 70⁰ + 50⁰ + 125⁰ = 360⁰

x⁰ + 245⁰ = 360⁰

x⁰ = 360⁰ - 245⁰

x = 115⁰

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➼ Final Answer-:

✯ Measure of Fourth angle of a Quadrilateral = 115⁰

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