Question

In the figure given below AB = AC and DAC=132 degree.Find the angles of the triangle

Answer 1

Answer:

Angle DAC =132

Angle ADC =24

Angle DCA =24

Answer 2

Answer:

angle DAC = 132

angle ADC = 24

angle ACD = 24

Step-by-step explanation:

given: angle DAC = 132

to find: angle ADC & ACD

sol:

by angle sum property of triangle,

angle ADC+ACD+DAC=180

also, by property of an isoseles triangle:

angles opposite to the same sides of a triangle are equal,

angle ACD = angle ADC

let angle ACD = ADC= x

Therefore,

by angle sum property of a triangle,

angle ACD+ADC+DAC=180

that gives,

x + x + 132 = 180

2x + 132 = 180

2x = 180-132

2x = 48

x = 24 = angleACD = angle ADC