Question

Show the similarity between a triangle with angles A
, B
, and C
, where m∠A=47°
and m∠B=36°
, and another triangle with angles G
, H
, and J
, where m∠G=36°
and m∠J=97°
.(1 point)

△ABC∼△GJH


△ABC∼△HJG


△ABC∼△GHJ


△ABC∼△HGJ

Answer 1

Compute C = 180 − 47 − 36 = 97°, so △ABC has angles A=47°, B=36°, C=97°. The other triangle has G=36°, J=97°, so H = 180 − 36 − 97 = 47°.

Match equal angles: A(47°)↔H, B(36°)↔G, C(97°)↔J. Thus the corresponding order is △ABC ∼ △HGJ.