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

Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! How the data set rises and drops can best be summarized by the ___________ o
does ax + by + c = 0 represent an equation of line, if a = b = 0?​
y is inversely proportional to the square root of x. When y=7, x= 2.25. Write y in terms of x.​
Will Mark Brainlest helppp plss​
Enlist any five objectives of population education.​
where is the area you applied the concept of opportunity cost in schoool life?​
A pulley system is made of 3 pulley write its velocity ratio
which countries have a smaller coastline than the Philippines​
x = either 100 , 140 , or 120