Respuesta :
It is given that [tex] \angle a=135^{\circ} [/tex].
Now, know that in 180 degrees there are [tex] \pi [/tex] radians. This can be written as:
[tex] 180^{\circ}=\pi [/tex] radians
[tex] \therefore 1^{\circ}=\frac{\pi}{180} [/tex] radians (dividing both sides by 180)
Thus, to find the measure of the given angle of [tex] 135^{\circ} [/tex] in radians, we will have to multiply the above equation by 135. Thus, we get:
[tex] 135^{\circ}=\frac{\pi}{180}\times 135 [/tex] radians
[tex] 135^{\circ}\approx2.356 [/tex] radians
Thus, equivalent to the radian measure of angle a is 2.356
Answer: 135pi/180
Step-by-step explanation: To turn degrees into radians the use of the formula degrees*pi/180= radians is used.
135*pi/180=135pi/180 radians simplified to 3pi/4 radians.