Math, asked by HardikSharma2698, 1 year ago

In an isosceles triangle abc ab=ac and angle a=30°. Find angle b angle c



Answers

Answered by samvidarose001
43
a = 30 degrees
b and c must be equal because it is an isosceles triangle
sum of all angles = 180 degrees
a = 180 - 30/2
= 150 ÷ 2
= 75 degrees
Thus, b = 75 degrees

HOPE this helps u mate!!!

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Answered by Equestriadash
53

Given: a = 30°.

To find: The measure of b and c.

Answer:

Since one angle is given, (a = 30°), b = c as it is an isosceles triangle.

In an isosceles triangle, two angles are equal.

Since b = c, let us take its measure as x.

a + x + x = 180° (Angle Sum Property) (All angles of a triangle add up to 180°)

30° + x + x = 180°

30° + 2x = 180°

2x = 180° - 30°

2x = 150°

x = 150°/2

x = 75°

Therefore the measure of angles b and c is 75°.

Proof: Using Angle Sum Property, a + b + c = 180°

LHS: a + b + c

30° + 75° + 75°

= 180°

= RHS


Hope it helps :)


samvidarose001: no urs onlyy
Equestriadash: Mine only because I put bold formatting here and there. If you did the same, it would look exactly like that. :)
samvidarose001: but still....u r an ace
Equestriadash: Ranks don't matter. Only correct answers matter. XD
samvidarose001: ^_^
Equestriadash: Oh..I'm part of the Brainly Stars team....and there are some rules like not sharing personal info. Hope you are not hurt. :)
samvidarose001: hmm.....sorry to ask
Equestriadash: That's okay. XD Happens!
samvidarose001: ^_^
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