Question

three angles of a quadrilateral are 100,80, and 110 degree find the other angles​

Answer 1

Answer:

70

Step-by-step explanation:

here,

a quadrilateral have total degree =360°

suppose

√A-100

√B-80

√C-110

√D-?

so - √A+√B+√C+√D=360°

100+80+110+√D=360°

so290°+√D=360°

√D=70°

Hence,√D=70°

Answer 2

Given

⇒Three Angles of a quadrilateral are 100° , 80° , 110°

To Find

⇒Fourth angles

We Know that

⇒Sum of all Interior angle of quadrilateral is 360°

⇒∠1+∠2+∠3+∠4 = 360°

we Have

⇒∠1 = 100° , ∠2 = 80° , ∠3 = 110°  and ∠4 =x

Put the value

⇒100° + 80° + 110° + x = 360°

⇒290° + x = 360°

⇒x = 360° - 290°

⇒x = 70°

Answer

⇒∠4 = 70°

Now Verify our answer , so we use this property

⇒ ∠1+∠2+∠3+∠4 = 360°

where

⇒∠1 = 100° , ∠2 = 80° , ∠3 = 110°  and ∠4 = 70°

⇒100° + 80° + 110° + 70° = 360°

⇒180° + 180°  = 360°

⇒360° = 360°

LHS = RHS