Question

solve the problem

M is the mid point of AB.
find the other two angle of ABC​

Answer 1

Answer:

Given, M is the midpoint of the line AB and ∠m = 90⁰.

$\bold{\: ∠A = 50 {}^{0}}$

We know sum of all interior angles of a triangle is 180⁰.

In ∆AMC,

$\bold{∠a + ∠b + ∠c = 180⁰}$

50⁰ + 90 + ∠c = 180⁰

140⁰ + ∠c = 180⁰

∠c = 180⁰-140⁰

$\sf \bold{∠c = 40⁰}$

In ∆MBC,

∠c = 40⁰

∠m = 90⁰

$\sf \: \pink{∠b = ?}$

∠m + ∠b + ∠c = 180⁰

90⁰ + ∠b + 40⁰ = 180⁰

130⁰ + ∠b = 180⁰

∠b = 180⁰-130⁰

∠b = 50⁰

$\pink{ \sf \bold{ \frak{∠a = 50⁰}, ∠b = 50⁰, ∠c = 80⁰}}$