Question

find the measures of angle x and angle y

Answer 1

Answer:

\angle A\ +\ \angle B+\ \angle C\ =\ 180\degree { angle sum property of triangle }

70\degree+\ 50\degree+\ \angle B\ =\ 180\degree

\angle B\ =\ 180\degree-\ 120\degree

\angle B\ =\ 60\degree

(ii) \angle BAC\ +\angle ACB\ =\ x\ {an exterior angle of a triangle is equal to the sum of the opposite interior angle }

65\degree+45\degree=x

110\degree=x

Answer 2

Answer:

(i)105°

(ii)60°

(iii)125°

Step-by-step explanation:

(i)45+30+x=180

x=180-75

x=105°

(ii)90+30+x=180

x=180-120

x=60°

(iii)x=60+65 (exterior angle=sum of opposite interior angles)

x=125°

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