Please prove that x+y+z=w

Asked by saif | 22nd Mar, 2017, 12:51: AM

Expert Answer:

begin mathsize 16px style To space prove colon space straight x plus straight y plus straight z equals straight w
Construction colon space Join space the space vertices space as space shown space in space the space figure space and space call space two space of space the space angles space straight a space and space straight b.
Using space Angle space Sum space Property comma space we space get
straight a plus straight b plus straight w equals 180 degree
rightwards double arrow straight w equals 180 degree minus straight a minus straight b space.... left parenthesis straight i right parenthesis
Also comma space in space the space bigger space triangle comma
using space Angle space Sum space Property comma space we space get
left parenthesis straight x plus straight a right parenthesis plus straight y plus left parenthesis straight z plus straight b right parenthesis equals 180 degree
rightwards double arrow straight x plus straight y plus straight z equals 180 degree minus straight a minus straight b
rightwards double arrow straight x plus straight y plus straight z equals straight w space.... left parenthesis from space left parenthesis straight i right parenthesis right parenthesis

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Answered by Rebecca Fernandes | 22nd Mar, 2017, 08:46: AM