47°
In both triangles, the sum of the angles is always equal to 180°. This is a property of triangles in Euclidean geometry. Therefore, the third angle in both triangles can be found by subtracting the sum of the other two angles from 180°.
For the first triangle with angles A, B, and C:
m∠C = 180° - m∠A - m∠B
m∠C = 180° - 47° - 36°
m∠C = 97°
For the second triangle with angles G, H, and J:
m∠H = 180° - m∠G - m∠J
m∠H = 180° - 36° - 47°
m∠H = 97°
Therefore, both triangles have a third angle of 97°, making them similar in terms of their angle measurements.
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=
1 answer
1 answer