Math, asked by aishahaflongber7, 2 months ago


find a,b and c . please help me with this​

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Answers

Answered by kartik2507
1

Answer:

a = 5 b = 35 c = 95

Step-by-step explanation:

∠C = 95°. (vertically opposite angle)

2b + 110° = 180° (linear pair)

2b = 180 - 110

2b = 70

b = 70/2

b = 35

3a + 2b + c = 180° (sum of angles of triangle)

3a + 70 + 95 = 180

3a + 165 = 180

3a = 180 - 165

3a = 15

a = 15/3

a = 5

a = 5 b = 35 c = 95

Hope you get your answer

Answered by MrMonarque
15

\Large{\underline{\bf{Given:}}}

✒️Two Angles Intersect at a point, and the angle formed is 95°

\Large{\underline{\bf{To\;Find:}}}

☞ Value of a,b & c.

\huge{\underline{\underline{\bf{Solution:}}}}

W.K.T

Vertically Opposite Angles Are Equal.

➝\;{\bf{c = 95°}}

Linear Pair Angles are Supplementary

→\;{\sf{2b+110° = 180°}}

→\;{\sf{2b = 180°-110°}}

→\;{\sf{b = \frac{70°}{2}}}

➝\;{\bf{b = 35°}}

Value of 2b → 2×35° = 70°

Sum of Interior Angles of a le are Supplementary

→\;{\sf{3a+2b+c = 180°}}

→\;{\sf{3a+70°+95° = 180°}}

→\;{\sf{3a = 180°-165°}}

→\;{\sf{a = \frac{15°}{3}}}

➝\;{\bf{a = 5°}}

Value of 3a → 3×5° = 15°

\huge{\green{\underline{\underline{\mathfrak{AnSweR:}}}}}

Value of a,b & c ◕➜ \Large{\red{\mathfrak{5°,35°, 95°}}} respectively.

Hope It Helps You ✌️

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