Answer:
a = 7
Step-by-step explanation:
This is a special trig triangles. Special trig triangles are identified by their angle measures and their sides have a unique relationship. This is a 30 - 60 - 90 triangle which has sides 1 - √3 - 2 or multiples of this. This means all 30 - 60 - 90 triangles have side lengths with the pattern 1 - √3 - 2. Here the triangle has a - 7√√3 - 14. The value of a is 7 since 7*√3 = 7√3 and 2*7 = 14.
Answer: A.) y = 15 B.) (5y + 3)° = 78° (4y + 8)° = 68° and 34°
Steps:
180° - 146° = 34°
180 = 34 + (5y + 3) + (4y + 8)
180 - 34 = (5y + 3) + (4y + 8)
146 = (5y + 3) + (4y + 8)
146 = 5y + 3 + 4y + 8
146 = 9y + 11
146 - 11 = 9y
135 = 9y
135/ 9 = y
15 = y
(5y + 3)
5(15) + 3
75 + 3
78
(5y + 3) = 78
(4y + 8)
4(15) + 8
60 + 8
68
68 = (4y + 8)
Check:
68 + 78 + 34 = 180
180 = 180 ✅
