Question

the measure of three angles of a quadrilateral is 30°,70°and 100°. find out the measurement of fourth angle.​

Answer 1

$\huge\bold{\mathtt{Question⇒}}$

The measure of three angles of a quadrilateral is 30°, 70°and 100°. Find out the measurement of fourth angle.

$\huge\bold{\mathtt{Given⇒}}$

• The measure of three angles of a quadrilateral is 30°, 70°and 100°.

$\huge\bold{\mathtt{To\:find⇒}}$

The fourth angle.

$\huge\bold{\mathtt{Solution⇒}}$

Let the fourth angle be x°.

We know that:

$\boxed{\mathtt{The\:sum\: of\:all\:angles\:of\:a\:quadrilateral\:is\:360°.}}$

According to condition,

x + 30 + 70 + 100 = 360

➳ x + 200 = 360

➳ x = 360 - 200

➳ x = 160

$\huge\bold{\mathtt{Hence⇒}}$

x = 160

Fourth angle = x° = 160°

$\huge\bold{\mathtt{Therefore⇒}}$

The measurement of fourth angle is 160°.

$\huge\bold{\mathtt{Not\:sure\:??}}$

$\huge\bold{\mathtt{Verification⇒}}$

x + 30 + 70 + 100 = 360

Substituting x with 160.

➳ 160 + 30 + 70 + 100 = 360

➳ 360 = 360

So, L.H.S = R.H.S.

Hence, verified.

$\huge\bold{\mathtt{Done࿐}}$

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