Respuesta :

semsee45

Answer:

75°

Step-by-step explanation:

  • The sum of interior angles of a triangle is 180°
  • Right angle = 90°
  • Acute angle is an angle that measures less than 90°

Let x = unknown angle

Therefore, if a right triangle has one angle that measures 15°:

⇒ x + 15 + 90 = 180

⇒ x + 105 = 180

⇒ x = 180 - 105

⇒ x = 75°

WindyMint

[tex] \bigstar \underline\frak{Required \: Solution}[/tex]

[tex] \\ [/tex]

Given :-

  • Triangle is a right triangle
  • One angle of triangle = 15°

[tex] \\ \\ [/tex]

To find :-

  • Left angle of triangle.

[tex] \\ \\ [/tex]

So first you should know what is right triangle ?

A triangle which has one angle as 90° and other two angles are acute angle.

[tex] \\ [/tex]

So we get know that one angle of triangle is 90°

Now :-

[tex] \star \boxed{\angle 1 + \angle 2 + \angle 3 = 180\degree}[/tex]

Reason :-

Sum of angles of triangle is equal to 180°

Formula :-

  • sum = (no. of angles - 2) × 180°
  • Sum = (3 - 2) × 180°
  • Sum = 1 × 180°
  • Sum = 189°

[tex] \\ \\ [/tex]

Steps to find left angle :-

[tex] \\ [/tex]

[tex] \sf\dashrightarrow\angle 1 + \angle 2 + \angle 3 = 180\degree[/tex]

[tex] \\ \\ [/tex]

[tex] \sf\dashrightarrow90 + 15 + \angle 3 = 180\degree[/tex]

[tex] \\ \\ [/tex]

[tex] \sf\dashrightarrow105 + \angle 3 = 180\degree[/tex]

[tex] \\ \\ [/tex]

[tex] \sf\dashrightarrow\angle 3 = 180\degree - 105 \degree[/tex]

[tex] \\ \\ [/tex]

[tex] \bf\dashrightarrow\angle 3 = 75\degree[/tex]

[tex] \\ \\ [/tex]

.°. measurement of left angle is 75°

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