Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

(1)

The angle pair is forming a straight angle, we call them supplementary angles too:

  • x + 25 + 75 = 180 ⇒ x = 180 - 100 ⇒ x = 80

(2)

The two angles forming a right angle, so the angles are complementary:

  • x - 50 + 10 = 90 ⇒ x = 90 + 40 ⇒ x = 130

(3)

The two opposite angles formed by intersecting two lines are called vertical angles and are of equal measure:

  • x + 33 = 67 ⇒ x = 67 - 33 ⇒ x = 34

#1

[tex] \tt \: x + 25 + 75 = 180 \degree \\ \sf \:[linear \: pair] [/tex]

  • Linear pair:- When two angles are formed on a line their sum is 180° and they are also called supplementary angles.

[tex] \tt \: x + 100 = 180 \degree [/tex]

[tex] \tt \: x = 180 - 100[/tex]

[tex] \boxed{\tt \: x = 80}[/tex]

#2

[tex] \tt \: x -50 + 10 = 90 \degree \\ \sf \:[complementary \: angles] [/tex]

  • Complementary angles:- When two angles form a right angle are called Complementary pair of angles. Their sum is 90°.

[tex] \tt \: x - 40 = 90[/tex]

[tex] \tt \: x = 90 + 40[/tex]

[tex] \boxed{ \tt \: x = 130 }[/tex]

#3

[tex] \tt \: x + 33=67 \degree \\ \sf \:[Vertically\: Opposite\:angles] [/tex]

  • Vertically opposite angles:- The angles that are opposite to one another at a specific vertex and are created by two straight intersecting lines are called Vertically Opposite angles. They are always equal.

[tex] \tt \: x = 67 - 33[/tex]

[tex] \boxed{ \tt \: x = 34}[/tex]