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PQ = RQ
Thus :
[tex]Angle \: \: P = Angle \: \: R = 47°[/tex]
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Sum of the interior angles of any triangle equal 180° .
So in ∆ PQR :
[tex]P + Q + R = 180[/tex]
[tex]47 + (a + a) + 47 = 180[/tex]
[tex]2a + 94 = 180[/tex]
Subtract sides 94
[tex]2a + 94 - 94 = 180 - 94[/tex]
[tex]2a = 86[/tex]
Divide sides by 2
[tex] \frac{2a}{2} = \frac{86}{2} \\ [/tex]
[tex]a = 43[/tex]
Thus :
[tex]a = [ 43 ] °[/tex]
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