Question

Please help geometry levers
Find the value of x

Answer 1

How to do :-

Here, we are given with two triangles. We know that all the triangles all together measures 180°. So, first we should find the value of third angle of the big triangle, by subtracting 180 with the sum of first and second angles. Then, we can find the value of 'x' with the same process.

➤ Solution :-

Third angle of big triangle :-

${\tt \leadsto {180}^{\circ} - ({94}^{\circ} + {41}^{\circ})}$

${\tt \leadsto 180 - (94 + 41)}$

${\tt \leadsto 180 - 135}$

${\tt \leadsto {45}^{\circ}}$

Now,

Value of 'x' :-

${\tt \leadsto {180}^{\circ} - ({111}^{\circ} + {45}^{\circ})}$

${\tt \leadsto 180 - (111 + 45)}$

${\tt \leadsto 180 - 156}$

${\tt \leadsto {24}^{\circ}}$

$\Huge\therefore$ The value of 'x' angle is 24°.

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More to know :-

• A triangle is a three sided figure with three angles. All the angles together measures 180°.
• The triangles are classified into three types, they are

1. Equivalateral triangle
2. Isoscles triangle
3. Scalene triangle

• Equilateral triangle is a triangle in which all the sides and angles measures same.
• Isoscles triangle is a triangle in which two of the sides measures same and other measures different.
• Scalene triangle is a triangle in which all the sides measures differently.

Answer 2

✯ Answer :

☞ X = 24°

✯ Solution :

We know that :

sum of 3 angles of triangle = 180°

✷ From Triangle ABD (Big triangle)

➩180 - (94+41)

➩180 - 135

<➩ADB = <CDE =45°

Now,

Now, From triangle ECD (small triangle)

➩<ECD+<CDE + <DEC = 180°

➩111° + 45° + X = 180°

➩56° + X =180°

➩ x = 24 °