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

Please help meeeeeeee
Summary Movie #1 Animated 1954 Version Farm animal please help
Which table represents a relation that is not function Please urgent
Calculate the length of the apothem of a regular polygon. A regular hexagon is shown. What is the length of the apothem, rounded to the nearest inch? Recall tha
Describe Lamarck’s idea about how organisms evolved. Use the giraffe’s neck as an example.
I need help ASAP I shall give brainlyist (idk how to spell)
please be neat and will mark brain.;)
Zimmerman Company's annual accounting year ends on December 31. It is December 31, 2014, and all of the 2014 entries except the following adjusting entries hav
COMPUTE: A) 40−5÷ 1/5 = B) (4.8−1.8÷6)÷5=
Consider the following dice game, as played at a certain gambling casino: players 1 and 2 roll a pair of dice in turn. the bank then rolls the dice to determine