Triangle P is similar to triangle Q. Triangle P has two angles with measures of 41°and 82°. Which two angle measures could be included in triangle Q?
Triangle Q could have two angles with measures of 41° and 82°, as they are corresponding angles in similar triangles.
Triangle P is similar to triangle Q. Triangle P has two angles with measures of 41°and 82°. Which two angle measures could be included in triangle Q?
41 and 58
82 and 98
41 and 74
82 and 57
41 and 58
The third angle in triangle P can be calculated by subtracting the sum of the two given angles from 180°.
Therefore, the third angle in triangle P is 180° - 41° - 82° = 57°.
Since corresponding angles between similar triangles are equal, the third angle in triangle Q must also be 57°.
Therefore, the possible angle measures in triangle Q are 41°, 58°, and 57°.