Question

PLZ ,USE THE GIVEN FIGURE TO EXPRESS ​

Answer 1

Hey there pal!

Here's the answer that you need!

Explanation:

In this question, we shall be using only one of the properties of a triangle, the Exterior Angle Property, which says that the exterior angle of a triangle is equal to the sum of the two opposite angles.

i) By the exterior angle property,

$a+b=f$

∴$a=f-b$

ii) Again, by exterior angle property,

$e+f=g$

∴ $e=g-f$

iii) ∠AGF = ∠CGD (Vertically opposite angles are equal)

∴  ∠AGF = e

∴ $d = a + e$ (By exterior angle property)

iv) ∠CGD + ∠GDC = c

==> e + (180 - ∠GDE) = c (Linear Pair)

∴$c=e+(180-g)$

Answer: i. a = f -b, ii. e = g - f, iii. d = a + e, iv. c = e + (180 - g)

I hope this helps. :D