loracarpenterlvn loracarpenterlvn
  • 03-05-2022
  • Mathematics
contestada

Given ABC = DCB; m A= 45°; m ABC = 3x;
m DBC = 30 and m ACB = 4y + 2, find the values of x and y.

Given ABC DCB m A 45 m ABC 3x m DBC 30 and m ACB 4y 2 find the values of x and y class=

Respuesta :

MushroomOat
MushroomOat MushroomOat
  • 03-05-2022
Well, since the two triangles are congruent, angles DBC and ACB are equal to each other.
So, 30=4y + 2
Subtract 2, 28=4y
Divide by 4, 7 = y


Now since all angles in a triangle are equal to 180 you can do :
180 = (45 + 3x + 30)
Simplify, 180=3x +75
Subtract 75, 105 = 3x
Divide by 3, 35=x
Answer Link

Otras preguntas

Please help meee and Explain why it is ?
Which one of these 3 Apple products is the best one?
Find the measure of x. 10 х 20° x = [?] Round your answer to the nearest hundredth.
Graph the following equation on the graph C = 7250 + 205s
a friend of yours has won schoolaship to study at summer shool. write a short messange to cogratulate your friend
Bonnie is by training for a half-marathon She already runs 8 miles per day. She wants to increase this by 2 miles a day for the next five days. Use the equatio
Help on matching please, struggling on it. Even just 1 or 2 would help
Alvin is 15 years older than Elga. The sum of their ages is 81. What is Elga's age
Please help me with this question :(
What sickness is Corona Virus??