Question

8. In the given figure, DO and CO are the bisectors of ZADC and
ZBCD respectively. If ZADC = ZBCD = 60°, and ZDAB = 100°,
find the measures of ZDOC, ZADC and ZABC.

z means angle ok
thank you ​

Answer 1

Answer:

ZBCD respectively. If ZADC = ZBCD = 60°, and ZDAB = 100°, find the measures of ZDOC, ZADC and ZABC. Rectangle ... which ZA = 90°, hence, ABCD is a rect

Answer 2

Answer:

ABCD is a quadrilateral

To prove : ∠AOB=21(∠C+∠D)

AO and BO is bisector of A and B

∠1=∠2∠3=∠4...(1)

∠A+∠B+∠C+∠D=360

(Angle sum property)

21(∠A+∠B+∠C+∠D)=180...(2)

In △AOB

∠1+∠3+∠5=21(∠A+∠B+∠C+∠D)

∠1+∠3+∠5=∠1+∠3+21(∠C+∠D)

$\fbox{∠AOB=21(∠C+∠D)}$