In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Z? Triangles EFG and YXZ, in which triangle YXZ is larger than EFG.

{Please look at the comments for the answer}

A) 38°
B) 62°
C) 80°
D) 142°

A) 38°

Step-by-step explanation:

Given: In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°.

So,  m∠F = m∠X  = 80°  

m∠Y = m∠E =  62°

By angle sum property , the sum of all angles in a triangle is 180 degrees.

In ΔXYZ ,

∠ X  + ∠Y + ∠Z = 180°

⇒ 80°+ 62°+ ∠Z = 180°

⇒ 142°+∠Z = 180°

⇒ ∠Z = 180°-142°

⇒ ∠Z = 38°

Hence, the correct option is A) 38°.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

my guess would be b and d, but i didn’t actually get out the pen and paper. lol