Question

An exterior angle of a triangle is of measure 130° and one of its interior opposite angles is of

measure 48°. Find the measure of other interior opposite angle.
​

Answer 1

Answer:

measure of angle is 130

interior angle is _

Step-by-step explanation:

180-130

50'

Answer 2

Given :

• Measure of Exterior angle of the triangle = 130°
• Measure of one of the ineterior angle of triangle = 48°

To Find :

• The Measure of the other ineterior opposite angle of the triangle

Solution :

Let the other interior opposite of the triangle be x⁰.

Applying the property of triangle ;

• Sum of the measures of two interior opposite angles of the triangle is equal to the measure of exterior angle of the triangle

Now ,

$\\ : \implies \sf \: {x}^{ \circ} + {48}^{ \circ} = {130}^{ \circ}$

$\\ : \implies \sf \: {x}^{ \circ} = {130}^{ \circ} - {48}^{ \circ}$

$\\ : \implies{\underline{\boxed{\pink {\mathfrak{x = {82}^{ \circ} }}}}} \: \bigstar$

Hence ,

• The measure of the other interior opposite angle of the given triangle is 82°.