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Answer 1 · 2017-02-21T14:17:25

The reqd. Angles of the #Delta" are, "70^@, 30^@, 80^@.#

Let the Base Angle and Vertex Angle be, #B and V,# resp.

By what is given, we get the following eqns. :

#(1): V-B=40, and, (2): V+B=100.#

#:. (1)+(2) rArr (V-B)+(V+B)=40+100.#

#:. 2V=140 rArr V=140/2=70.#

#"Then, from "(2), 70+B=100 rArr B=100-70=30.#

Finally, the remaining #3^(rd)# Angle, is #180-70-30=80.#

Thus, the reqd. Angles of the #Delta" are, "70^@, 30^@, 80^@.#