samanthabrooke0737 samanthabrooke0737
  • 08-02-2021
  • Mathematics
contestada


Given that triangle LMN is
similar to triangle GJH, what is
the value of x?

Given that triangle LMN is similar to triangle GJH what is the value of x class=

Respuesta :

grwan23
grwan23 grwan23
  • 08-02-2021

Answer:

x = 53

Step-by-step explanation:

Similar means that the corresponding angles are congruent (the same) - basically what this means is that ∠L ≅ ∠G, ∠M ≅ ∠J, and ∠N ≅ ∠H.

Since we know that the angle measures in a triangle should add up to 180 and we know the measures of ∠L and ∠M already, we can do

180 =  67 + 60 + N

So, N = 180 - (67 + 60) = 180 - 127 = 53.

Since ∠N ≅ ∠H, ∠H = 53.

Answer Link

Otras preguntas

which is an example of colloid
Both drugs and dietary supplements can cause serious medical problems if used incorrectly.
Is oil less dense than water
Which of the following was a political effect of European imperialism in Africa? a. Most manufactured goods were sent to Africa from Europe. b. Christianity spr
why is 0.8 and 0.80 named the same?
The process of combining rows and columns in a table is called _____. Choose one answer. a. marrying b. blocking c. banding d. merging
a number is chosen at random from 1 to 10 find the probality of selecing a 3 or smaller
a family buys a car for $20,000. the value of the car decreases about 20% each year. after 6 years, the family decides to sell the car. should they sell it for
Cactus spines are modified stems branches leaves. Humans have pores in their skin to sweat and cool off the body. Plants have similar structures called _____.
A shorter electromagnetic wave is _____. more powerful less powerful hotter colder