Question

Find the measure of angle 1 and angle 2 in the given figure

Answer 1

Step-by-step explanation:

For angle 1 :

180 - angle DOC

Which is,

180 - 82 = 98 degrees [ note down ]

As angle ADC is 90 degrees Angle which is a right angle

Angle ADO will be 90 - 35 = 55 degrees [ note down ]

Now,  using Angle Sum Property angle DAO [ angle 1] can be found , which will be like :

let angle 1 be x for now...so,

98+55+x = 180 Solve for x ,

So x wil be 27 degrees

Therefore, angle 1 is 27 degrees

For angle 2 :

As given angle DAB is 90 degrees

Angle OAB [ angle 2 ] will be,

90 - 27 [ angle DAO ]

Which will be 63 degress

Therfore,

Angle 1 is 27 degrees and Angle 2 is 63 degrees