Question

Angle 1=2x+40 and Angle 3 is = x+110 they are supplementary angles find x

Answer 1

➤ Given Equations :-

• ${\tt \angle{1} = 2x + 40}$
• ${\tt \angle{3} = x + 110}$

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➤ To Find :-

Value of 'x' if they form a supplementary angle

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★ How to do :-

Here, we are given with two equations in which they consist of a variable 'x'. We should find the value of that variable. We are also given that the sum of both that angles forms a supplementary angle. A supplementary angle means in which two angles when added together obtains with the sum as 180. We can find this answer easily. While solving, we should also use the other concepts such as transportation of numbers from LHS to RHS. So, let's solve!!

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➤ Solution :-

Let's solve the first equation...

${\tt \leadsto \angle{1} = 2x + 40}$

${\tt \leadsto 180 = 2x + 40}$

${\tt \leadsto 2x = 180 - 40}$

${\tt \leadsto 2x = 140}$

${\tt \leadsto x = \cancel \dfrac{140}{2} = 70}$

${\tt \leadsto \orange{\boxed{\tt x = 70}}}$

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Now, let's solve the second equation...

${\tt \leadsto \angle{3} = x + 110}$

${\tt \leadsto 180 = x + 110}$

${\tt \leadsto x = 180 - 110}$

${\tt \leadsto \orange{\boxed{\tt x = 110}}}$

Hence solved !!

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More to know :-

• All the angles of the triangle always measures 180° together. If not, then it's not considered a triangle. There are three types of triangle. They are :-

1. Equilateral triangle :- The triangle which has all the sides measuring as equal.
2. Isosceles triangle :- The triangle which has two sides as same and the other side measures different.
3. Scalene triangle :- The triangle which has all the sides measuring differently.