Question

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

Answer 1

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°.

Answer 2

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