Answer:
[tex]m\angle BYP=42^\circ[/tex]
Step-by-step explanation:
Lines and angles
The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.
[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]
We are given the acute angles as a function of m. thus:
5m + 98 + 2m + 48 = 90
Simplifying:
5m + 146 = 90
5m = -56
m = -56/5 = -11.2
m = -11.2°
To find the measure of angle BYP, substitute m in
5m + 98 = 5*(-11.2) + 98 = 42°
[tex]m\angle BYP=42^\circ[/tex]
