Si us plau, resoldreu q 80?

Si us plau, resoldreu q 80?
Anonim

Resposta:

l’opció (4) és acceptable.

Explicació:

Donat que, # AB = AC = BD # i #AC_ | _BD #.

# rarrAB = AC #

# rarr / _B = / _C #

# rarr90-a + 90-d = d #

# rarra = 180-2d #…..1

A més, # rarrAB = BD #

# rarr / _A = / _ D

# rarra + b = 90-b #

# rarra = 90-2b #….2

De 1 i 2, tenim, # rarr180-2d = 90-2b #

# rarrd-b = 45 #….3

Ara, # / _ C + / _ D #

# = / _ BCA + / _ BDA = 90-b + d = 90 + 45 = 135 #

Resposta:

# angleC + angleD = 135 ^ @ #

Explicació:

Deixar # angle angleBD = x #,

donat # AB = BD, => angleBDA = (180-x) / 2 #

deixar # angleCBD = y #, donat # AB = AC, => angle ACB = angleABC = x + y #, In #DeltaCBE, => color (vermell) (x + 2y = 90 ^ @) #

# angleC + angleD = angleACB + angleBDA = x + y + (180-x) / 2 #

# = x + y + 90-x / 2 #

# = x / 2 + y + 90 #

# = (x + 2y) / 2 + 90 #

#=90/2+90=45+90=135^@#