Question

A triangle has two angles that measure 85 and 23. Which has to be the measure of the third angle?

95
∘


72
∘


157
∘
Please help me please please please

Answer 1

Explanation:

Given :-

• A triangle have two angles that measures 85° and 23°.

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 {85^(\circ)\ +\ 23^(\circ)\ +\ x\ =\ 180^(\circ)}`

`\sf \longrightarrow {108^(\circ)\ +\ x\ =\ 180^(\circ)}`

`\sf \longrightarrow {x\ =\ 180^(\circ)\ -\ 108^(\circ)}`

`\bf \longrightarrow {\underline{x\ =\ 72^(\circ)}}\ \bigstar`

∴ Hence, the measure of the third angle of the triangle is 72°.