ebarlow114 ebarlow114
  • 12-01-2021
  • Mathematics
contestada

3.
In the diagram below, AB ABC.
B
(78
А
What is the value of x

3 In the diagram below AB ABC B 78 А What is the value of x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-01-2021

Answer:

x = 129°

Step-by-step explanation:

Since AB ~ BC then Δ ABC is isosceles and the 2 base angles are congruent.

∠ ACB = [tex]\frac{180-78}{2}[/tex] = [tex]\frac{102}{2}[/tex] = 51°

∠ ACB and x are adjacent angles and are supplementary, sum to 180°, then

x = 180 °- 51° = 129°

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