63 degrees because 180-117 is 63.
Step-by-step explanation:
Number of sides of the given polygon, n =5
Sum of interior angles =( n-2)180°
=( 5 - 2)180°
= 3*180°
= 540°
Missing angle, x = 540°- (100°+105°+110°+145°)
= 540°- 460°
= 80°
Answer:
5,33,8
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
33 + (-5) - (-70) - 26
33 - 5 + 70 - 26
- and - = +
- and + = -
+ and - = -
33 -5 = 28
28 + 70 = 108
108 - 26 = 82
(7) m∠A = 52°
(8) m∠B = 117°
Solution:
(7) Let us first define the supplementary and complementary angles.
Supplementary angles: Two angles are said to be supplementary angles if their sum is add up to 180°
Complementary angles: Two angles are said to be complementary angles if their sum is add up to 90°
Given supplement of 142° = 180° – 142°
= 38°
Complement of ∠A = Supplement of 142°
⇒ Complement of ∠A = 38°
Measure of ∠A = 90° – 38°
= 52°
Hence m∠A = 52°.
(8) Given complement of 27° = 90° – 27°
= 63°
Supplement of ∠B = Complement of 27°
⇒ Supplement of ∠B = 63°
Measure of ∠B = 180° – 63°
= 117°
Hence m∠B = 117°.
