Mangyaring lutasin ang q 80?

Sagot:

Ang pagpipilian (4) ay katanggap-tanggap.

Paliwanag:

Kung ganoon, # AB = AC = BD # at #AC_ | _BD #.

# rarrAB = AC #

# rarr / _B = / _ C #

# rarr90-a + 90-d = d #

# rarra = 180-2d #…..1

Gayundin, # rarrAB = BD #

# rarr / _A = / _ D #

# rarra + b = 90-b #

# rarra = 90-2b #….2

Mula sa 1 at 2, mayroon kami, # rarr180-2d = 90-2b #

# rarrd-b = 45 #….3

Ngayon, # / _ C + / _ D #

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

Sagot:

# angguloC + angleD = 135 ^ @ #

Paliwanag:

Hayaan # angleABD = x #,

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

hayaan # angleCBD = y #, ibinigay # AB = AC, => angleACB = angleABC = x + y #, Sa #DeltaCBE, => kulay (pula) (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^@#