y7ni2u5rr9
y7ni2u5rr9 y7ni2u5rr9
  • 08-11-2021
  • Mathematics
contestada

x = 68°, find the measures of angles 1, 2, and 3.

x 68 find the measures of angles 1 2 and 3 class=

Respuesta :

Hi1315
Hi1315 Hi1315
  • 08-11-2021

Answer:

[tex] < 1 = 112 \degree\\ < 2 = 68 \degree \: \\ < 3 = 112 \degree[/tex]

Step-by-step explanation:

As the vertically opposite angles are equal,

[tex]x = < 2 \\ x = 68 \\ so \\ < 2 = 68 \degree[/tex]

As the angles in a straight line is added up to 180°

[tex] < 1 + < 2 = 180 \\ < 1 + 68 = 180 \\ < 1 = 112 \degree[/tex]

Also,

[tex] < 2 + < 3 = 180 \\ 68 + < 3 = 180 \\ < 3 = 112 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions:-)

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