Question

7.
In A ABC, bisectors of ZA and B intersect at point o. If ZC = 70°. Find measure
of ZAOB​

Answer 1

Answer:

125°

Step-by-step explanation:

ZC = 70°

Construction: extend bisector of ZA till it interests BC at R

ZARC = 90°

by angle sum property

ZARC + ZRCA +ZCAR = 180°

90+70+ZCAR= 180°

ZCAR=20°

ZRAB=20° (AR is a bisector of ZA)

NOW,

by angle sum property

ZA +ZB+ZC =180°

40+ZB+70=180°

ZB=70°

IN ∆ABO

BY ANGLE SUM PROPERTY

ZOAB + ZABO + ZBOA =180°

20+35+ZBOA =180°

ZBOA = 125°

=> ZAOB=125°