Question

two angles of a triangle method 30 degree and 55 degree respectively. find the measure of the third angle also state what type of angle is it.

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Answer 1

Answer:

Hey mate ur answer is here..

Given two angles of a triangle are 30 & 55

Let the third angle of a triangle be x

We know sum of angles in a triangle is 180° So, x + 30 + 55 = 180

x + 85 = 180

x = 180 - 85

X = 95

Therefore the third angle of a triangle is 95°

Hope it helps u.

Answer 2

Given :

• Measures of two angles of a triangle = 30° and 55°

To Find :

• The measure of third angle and the type of angle

Solution :

Let the third angle be x°

By Angle sum property of a triangle. Sum of all the interior angles of a triangle is 180°.

Now , According to the question ;

$\\ : \implies \sf \: {30}^{ \circ} + {x}^{ \circ} + {55}^{ \circ} = 180 {}^{ \circ}$

$\\ : \implies \sf \: {85}^{ \circ} + {x}^{ \circ} = {180}^{ \circ}$

$\\ : \implies {\boxed{\pink{ \sf{{x}^{ \circ} = {95}^{ \circ} }}}} \: \bigstar$

95° is an obtuse angle. The given traingle is an obtuse angled-triangle.

Hence , The measure of third angle is 95°. The third angle is a type of obtuse angle and the triangle is an obtuse angled triangle.