Ruzzel37viz
Answered

if the measure of the exterior angle is 45*, then the measure of the interior angle is ?
a. 100
b. 125
c. 135
D.145

Sagot :

AGboiiviz

[tex] \large\underline \mathcal{{QUESTION:}}[/tex]

if the measure of the exterior angle is 45°, then the measure of the interior angle is ?

  • a. 100
  • b. 125
  • c. 135
  • D. 145

[tex]\\[/tex]

[tex] \large\underline \mathcal{{SOLUTION:}}[/tex]

The exterior angle and its interior angle are supplementary:

[tex]\sf{Interior+Exterior=180°} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\sf{Interior+45°=180°} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\sf{Interior=180°-45°} \\ \sf{Interior=135°} \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex]\\[/tex]

[tex] \large\underline \mathcal{{ANSWER:}}[/tex]

  • Option C (135°)