Question

In the adjoining figure, equal sides have been shown with
similar markings. Find the values of :
(i) x
(ii) y
(iii) z
Give reasons for your answer​

Answer 1

Answer :

here in triangle ABD and CBD, it seems like they are an isosceles triangles because two sides of these triangles are equal,

therefore adjacent angles are also congruent.

in triangle ABD

∠DAB = ∠ADB = 30°

(isosceles triangle)

∠DAB + ∠ADB + ∠ABD = 180°

_________(sum of measures of angles of triangle)

30° + 30° + ∠ABD = 180°

60° + ∠ABD = 180°

∠ABD = 180° - 60°= 120°

∠DBC + ∠ABD = 180°

_________________(linear pair)

∠DBC + = 180° - 120°

∠DBC = 60° = y

we know, DBC is an isosceles triangle, therefore

∠DBC = ∠BDC = 60°

∠BDC = z = 60°

Answer 2

Answer:

Hi!!!

Step-by-step explanation:

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