Question

Two
angles of a quadritateral
are of measure 80 each the each
other two_angles are also equal
what is the measure of either
of these two angles?​

Answer 1

Answer:

Correct Question :-

Two angles of a quadritateral are of measure 80 each the each other two angles are also equal what is the measure of either of these two angles

Given :-

• Two angle of Quardilateral measure 80⁰

To Find :-

Measure of two other sides

Solution :-

Let the both same angle be x

As we know that sum of all angles in a Quadrilateral is 360⁰.

$\sf \mapsto \: x + x + 80 + 80 = 360$

$\sf \mapsto \: 2x + 80 + 80 = 360$

$\sf \mapsto \: 2x + 160 = 360$

$\sf \mapsto \: 2x = 360 - 160 \bigg \lgroup \: 160 \: to \: RHS \bigg \rgroup$

$\sf \mapsto \: 2x = 200$

$\sf \mapsto \: x \: = \dfrac{200}2$

${\boxed{\frak{\pink{\underline{x = 100}}}}}$

Answer 2

Correct Question :-

Two angles of a quadrilateral are of measure 80 each the each other two angles are also equal what is the measure of either of these two angles

Answer :-

• Third angle of quadrilateral = 100°

• Fourth angle of quadrilateral = 100°

Given :-

• First angle of quadrilateral = 80°

• Second angle of quadrilateral = 80°

To Find :-

• Third angle of quadrilateral = ?

• Fourth angle of quadrilateral = ?

Explanation :-

As above given, both other angles same equal value. So, Let the first angle to be 'x', then the other angle will also 'x'. (A.T.Q)

As we know, The sum of all interior angles in a Quadrilateral is 360°.

So making an equation,

$\rm \implies \: x + x + 80^\circ + 80^\circ = 360^\circ$

$\rm \implies \: 2x + 80^\circ + 80^\circ = 360^\circ$

$\rm \implies \: 2x + 160^\circ = 360^\circ$

$\rm \implies \: 2x = 360^\circ - 160^\circ$

$\rm \implies \: 2x = 200$

$\rm \implies \: x \:  =  \dfrac{200^\circ}2$

$\blue{\underline{\boxed{\bf{x = 100^\circ}}}$

Now substituting the value of 'x'

$\rm \odot \: Third \: angle = x = \bold{\red{100^\circ}}$

$\rm \odot \: Fourth \: angle = x = \bold{\red{100^\circ}}$

Hence, the other 2 angles of the quadrilateral are 100° each.