10 and 3/4 i think i may be wrong though hope it helps
Answer:
A quadrilateral's interior angles have a sum of 360°.
Given that we have 85°, 100°, and 90°(the right angle), and an unknown angle.
We can add these angles plus the unknown angle to equal a total of 360°.
85 + 100 + 90 + x(our unknown missing angle) = 360
simplify
275 + x = 360
Isolate x by subtract 275 from both sides;
-275 -275
x = 85, ∠1 = 85°
We can also double check:-
85 + 100 + 90 + <u>85</u> = 360
360 = 360 which is correct.
Answer:
-5 5/8 or -5.625
Step-by-step explanation:
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
<h3>A.</h3>
The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
<h3>B.</h3>
One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
Therefore 0.28 is greater.
Hope this helps!
