If two angles of a triangle are 29 and 105 then find the third angle in

degree.

# If two angles of a triangle are 29 and 105 then find the third angle in

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answer :

third angle will b 45

Step-by-step explanation:

solution ——>

Given

let asume Δ ABC

now

we have;

\begin{gathered} < a = 30 \\ \\ < b = 105 \\ \\ < c = \end{gathered}

<a=30

<b=105

<c=

As we all know sum of all angle of triangle =180

so as per condition we write

<a + < b + < c = 180

\begin{gathered}30 + 105 + < c = 180 \\ \\ 135 + < c \: = 180 \\ \\ < c = 180 – 135 \\ \\ < c = 45\end{gathered}

30+105+<c=180

135+<c=180

<c=180−135

<c=45

so third angle will b 45

We know that the sum of the interior angles of a triangle is 180∘. Let third angle in all the given triangles be x∘. Therefore,

(i) 38∘+100∘+x∘=180∘

x∘=180∘−138∘

x∘=42∘