Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
Answer:
∠Q = 53.13 degrees
Step-by-step explanation:
Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle
Hence using the notation
SOH CAH TOA
where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides
Considering ∠Q and the given sides
PR=16cm is the opposite side,
PQ= 12 cm is the adjacent side hence we use TOA
Tan Q = 16/12 =
Q = Arc tan 16/12
= 53.13 degrees
The answer is 17! Hope it helps :)
The answer is 3. -2i square root of 2
