Answer:
Hence In ΔABC ∠B= 90 and ∠C= 60 and ΔDEF ∠D= 30 and ∠E=90
(units are in degrees)
Step-by-step explanation:
Given:
Two triangles ABC and DEF has to similar triangles
(otherwise there is no way to find 2 angles of triangle with one angle given and no other relationship)
To Find:
Remaining angles of the two triangles.
Solution:
Two triangles to be the similar or congruent it implies that
ABC≅DEF
∠A=∠D ∠B=∠E
and ∠C=∠F
Hence ∠A=30
i.e ∠D=30 degree.
∠F=60
i.e.∠C=60 degree.
Now
Sum of all angles of triangle is 180
∠A+∠B+∠C=180
30+∠B+60=180
∠B=180-90
∠B=90
Therefore angle B is 90 degree.
Hence ∠E=90 degree
And ∠D=180-∠E-∠F=30 degree.
Angle D=30 degree.
