Question

plz solve this question in detail ok
find the lettered angle in each case ​

Answer 1

Answer:

• x = 70°
• z = 70°
• y = 40°

Step-by-step explanation:

⇛ x = 70° ( vertically opposite angles )

⇛ z + 110° = 180° ( linear pair )

⇛ z = 180° - 110°

⇛ z = 70°

In ∆ABC, by angle sum property

⇛ x + y + z = 180°

⇛ 70° + y + 70° = 180°

⇛ 140° + y = 180°

⇛ y = 180° - 140°

⇛ y = 40°

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More:

Angle sum property:

The sum of all the interior angle of a polygon can be found by multiplying the number of triangles( having its vertices coinciding with the polygon's vertices ) in the polygon by 180°, the number of triangles formed in a polygon is 2 less the number of side.

Sum of interior angles of a polygon:

( n - 2 ) × 180°

where n is the number of side.

Answer 2

$\Huge\bf\pink{answer:}$

$\sf{ }$

$\bf{To~find:}$

$\sf The \: unknown \: angles : \: x ,\: y \: and \: z ,\: in \: the \: figure.$

$\bf{Here;}$

$\sf{~~~~~~x={\pink{\bf 70°}}~[Vertically~Opposite~Angles]}$

$\sf{~~~~~~z=180-110~[Linear~pair]}$

$\sf{:→ z={\pink{\bf 70°}}}$

$\sf{~~~~~~y=180-(70+70)~[Angle~Sum~Property]}$

$\sf{:→ y=180-140}$

$\sf{:→ y={\pink{\bf 40°}}}$

$\sf{ }$

$\bf\therefore{Required~answer:}$

$\bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \pink{70 \degree} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf y = \pink{40 \degree} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf z = \pink{70 \degree}$