The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? CHECK ALL THAT APPLY!
1.Both Angles Are Acute
2.The sum of the measures of the two angles is 75°.
3.The sum of the measures of the two angles is 155°.
4.One of the angles is a right angle.
5.The measure of neither angle is more than 75°.
6.The measures of the other angles must be 105° too.
7.The measure of one of the other angles equals 75°.
8.The measure of one of the other angles must be 45°.
Answers
Answer:
Step-by-step explanation:
given that one of a angle in a triangle is 105°. as we know sum of all the angle of a triangle is equal to 180°.\
1- if one angle is 105° then remaining angle sum must be 75°. it means both the angle will be acute. so this statement is true.
2- we already see that if one angle is 105° then remaining angle sum must be 75°. so this statement is also true.
3- it can not be possible that sum is equal to 155° because in that case sum of angle of triangle exceed than 180°. so this statement is wrong .
4- as one angle is 105° then it can not be poosible that another angle is 90° because in that case sum is 105+90= 195° which is not possible.
5- this statement is true because 180-105=75°. so neither angle is more than 75°.
6- this is not posisble because in that case sum is 210° which voilades triangle properties.
7- it is not possible because sum of another angle must be 75°. if one angle is 75° then this not possible that third angle is 0°.
8- it can be possible so that one angle is 45°and the another one is 30°.