Question

Find the measure of a and b
plz help ​

Answer 1

Answer:

Angle a = 40 degree, Angle b = 70 degree

Step-by-step explanation:

Finding angle b,

We take Triangle ADC,

Angle DAC + Angle ACD + Angle b= 180 degree(since sum of the angles of a triangle is always 180 degree)

or, 50 degree + 60 degree + Angle b = 180 degree

or, 110 degree + Angle b = 180 degree

or, Angle b = 180 degree - 110 degree

or, Angle ADC or Angle b = 70 degree

Finding angle a,

Angle ADB + Angle ADC = 180 degree (Since BC is a straight line and hence BDC a straight angle, i.e., 180 degree)

or, Angle ADB + 70 degree = 180 degree

or, Angle ADB = 180 degree - 70 degree

or, Angle ADB = 110 degree

Now, taking triangle ADB,

Angle ADB + Angle DAB + Angle a = 180 degree(since the sum of angles of a triangle is always 180 degree)

or, 110 degree + 30 degree +Angle a = 180 degree

or, 140 degree + Angle a = 180 degree

or, Angle a = 180 degree - 140 degree

or, Angle a = 40 degree