Question

What is the m∠ADC?

Answer 1

a) 14
b) 24
c) 44
d) 134

Answer 2

it is 24 degree

if u want to know why, just write back and I'll explain....

Answer 3

i would like to know why please

Answer 4

Okay, (I am using L for the sign of angle)
L DAB is the exterior angle of the triangle.
In a triangle, the measure of the exterior angle of a triangle is equal to the sum of the measures of interior opposite angles

Answer 5

thanks

Answer 6

m< ACD = 180-m< BCD (since these two angles are supplementary)


m< ACD = 180-46


m< ACD = 134


Since all angles in a triangle add to 180, we know that



22 + m < ADC + 134 = 180


m < ADC + 156 = 180


m < ADC = 180-156


m < ADC = 24


So the answer is 24

Answer 7

so
L DAB = L DAC + L ADC
46 deg = 22 deg + L DAC
46 deg - 22 deg = L DAC
24 deg = L DAC

Answer 8

the method jim_thompson has given is also right though a little more long-winded...... ☺