Question

find the value of unknown x in the following diagrams​

Answer 1

Step-by-step explanation:

by angle sum property

angleA + angleB + angleC = 180°

x + 50 + 60 = 180

x = 180 - 110

x = 70°

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Answer 2

Answer :-

• The value of x is 70°.

What to do?

• Find the value of x in the given diagram.

Step-by-step explanation :-

• In this diagram, we see a triangle. The measures of two angles of the triangle have been given to us. We have to find the measure of it's third angle, whose value is x. We are going to solve this sum using the angle sum property of a triangle.

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We know that :-

$\underline{\boxed{\sf Sum \: of \: all \: angles \: in \: a \: triangle = 180^{\circ}}}$

Here,

• First angle = 50°.
• Second angle = 60°.

• All of the angles in this triangle must be equal to 180°.

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$\rm \longmapsto x + 50^{\circ} + 60^{\circ} = 180^{\circ}$

Adding 50° and 60°,

$\rm \longmapsto x + 110^{\circ} = 180^{\circ}$

Transposing 110° from LHS to RHS, changing it's sign,

$\rm\longmapsto x = 180^{\circ} - 110^{\circ}$

Subtracting 110° from 180°,

$\longmapsto \overline{\boxed{ \rm x = 70^{\circ}}}$

• So, the value of x is 70°.