Question

In a triangle, two of the angles measure 63�� and 71��. find the measure of the third angle.

Answer 1

since a triangle's angles must all together measure 180 degrees, subtract the two angles from 180: 180 - 71 - 63 = 46

Answer 2

Step-by-step explanation:

Given :-

• In a triangle, two of the angles measure 63° and 71°.

To Find :-

• Measure of the third angle.

Solution :-

Let the measure of the third angle of the triangle be x.

As we know that,

• The sum of all three sides of a triangle is 180° which is the angle sum property of triangle.

Therefore,

$\sf \longrightarrow {\angle{A}\ +\ \angle{B}\ +\ \angle{C}\ =\ 180^{\circ}}$

$\sf \longrightarrow {63^{\circ}\ +\ 71^{\circ}\ +\ x\ =\ 180^{\circ}}$

$\sf \longrightarrow {134^{\circ}\ +\ x\ =\ 180^{\circ}}$

$\sf \longrightarrow {x\ =\ 180^{\circ}\ -\ 134^{\circ}}$

$\bf \longrightarrow {\underline{x\ =\ 46^{\circ}}}\ \bigstar$

∴ Hence, the measure of the third angle of triangle is 46°.