Question ⭐
I have a three sided figure whose 1 st side is 90° 2nd one is 40° and 3rd one is X please solve it
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Answers
Answer:
Answer
Another angle is 50°
Concept required
Three sided figure refers to triangle
so, two sides of a triangle are given :
90°,40°.
We, know that sum of 3 angles of a triangle is 180°
So, let's find out X
•°•90°+40°+X° = 180°[Sum of 3 angles of a triangle is 180°]
=》130°+X° = 180°
=》X° = 180° - 130°
=》X° = 50°
•°•Hence, the 3rd side will be 50°
Given
- Three-sided figure.
- 1st side is 90°
- 2nd side is 40°
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To Find
- The third side.
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Solution
Three-sided figure is probably a triangle. We know that, the sum of all interior angles in a triangle is always 180°
So here, we have been given two angles and we need to find the third one. So we'll solve this equation to find the 3rd angle ⇒ 90 + 40 + x = 180
Let's solve your equation step-by-step.
90 + 40 + x = 180
Step 1: Simplify the equation.
⇒ 90 + 40 + x = 180
⇒ 130 + x = 180
Step 2: Subtract 130 from both sides of the equation.
⇒ 130 + x - 130 = 180 - 130
⇒ x = 50
Verification for the third angle.
⇒ 90° + 40° + 50° = 180°
⇒ 180° = 180°
∴LHS = RHS
∴ The third angle of the three-sided figure (triangle) is 50°
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