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.
Answers
Answered by
13
Answer:
the third angle is 95 °
Step-by-step explanation:
180-(30+55)
=180-(85)
=95
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Answered by
12
Given :
Two angles of a triangle are : 30° and 55°
To find :
The third angle and to state that what type of angle is it.
Solution
Let the third angle be = x
By Angle Sum property of triangle,The sum of all angles of a triangle is 180°.
So, Using angle sum property of triangle, In the given triangle,
=> x + 30° + 55° = 180°
=> x + 85° = 180°
Subtracting 85 from both sides,
=> x + 85° - 85° = 180° - 85°
=> x = 95°
Hence, the measure of the third angle is 95°.
The angle is greater than 90° and smaller than 180°,
So, it is a Obtuse angle.
Obtuse angle : They are the angle with measurment more than 90° and less than 180°.
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