Three angles of a triangle are 3x+5 x+20 x+25 find x
Answers
Answer:
26
Step-by-step explanation:
3x+5+x+20+x+25=180 (Angle Sum Property of Triangle)
5x+50=180
5x=180-50
5x=130
x=130÷5
x=26
Concept
The angle of a triangle is the space formed by the triangle's two side lengths. A triangle has both interior and exterior angles. Interior angles are three angles that exist within a triangle. When the sides of a triangle are extended to infinity, exterior angles are formed. We know that the sum of a triangle's three interior angles equals 180 degrees.
Given
Here, the three angles of a triangles are 3x + 5, x + 20 and x + 25.
Find
We have to find the value of x.
Solution
Since here the angles are interior angles, we can write
3x + 5 + x + 20 + x + 25 = 180
i.e. 5x + 50 = 180
i.e. 5x = 180 - 50 = 130
i.e. x = 130/5 = 26
Hence, the value of x is 26.
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