Question

please answer this question​

Answer 1

Answer:

a. x = 80°

b. x = 140°

c. x = 65°

d. x= 62°, y= 30°

e. x= 63°

Answer 2

Answer:

A.  ∵AB = AC

SO, ∠B = ∠C

∠C = x = 80°

B. ∵ LN = LM

SO, ∠N = ∠M

∠M = 20°

x+20°+20° = 180°

x = 180°-40° = 140°

C. ∵ PQ =PR

SO, ∠Q = ∠R

∠Q = x°

x°+x°+50° = 180°

2x +50° = 180°

2x = 130°

x = 65°

D.  ∵QR = PR

SO, ∠Q = ∠P

∠Q =  59°

x+59°+59° = 180°

x = 180°-118°  = 62°

also ∠PRS = 180°-62° = 118°

y+118°+32° = 180°

y = 180°-150°  = 30°

E.  ∵AE = AD

∠D = 63°

∠DAE = 180°-63°-63°  = 180°-126° = 54°

∠CAB = 54° [voa]

∵AB = AC

∠B = x

x+x+54° = 180°

2x = 180°-54°  = 126°

x = 63°