Question

In the given figure, find x +y + z

Answer 1

360°

x+y+z=360°

External angles of Triangle.

Answer 2

In the Given Figure,

Consider the triangle MNO, We know that, sum of measures of interior angles of triangle is equal to 180°

∠M + ∠N + ∠O = 180°

∠M + 70° + 90° = 180°

160 ° + ∠M = 180°

∠M = 180 ° - 160

∠M = 20°

We know that, sum of angles linear pair is equal to 180 °

So , x + 90 = 180°

x = 180° - 90°

x = 90°

$\sf\purple{The \: Value \: of \: x \: is \: 90°}$

Then y + 70° = 180°

y = 180° - 70°

y = 110 °

$\sf\purple{The\: Value \: of \: y \: is \: 110°}$

Similarly

z + 20 = 180°

z = 180 ° - 20

z = 160°

$\sf\purple{The\: Value \: of \: z \: is \:1 60°}$

Hence, x + y + z

$⇒90° + 110° + 160° \\ ⇒360°$

$\;\large{\boxed{\bf{\pink{Answer \: is\: 360° }}}}$

$\sf\blue{hope \: this \: helps \: you!! \: }$

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