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PLEASE HELP!! Will mark brainliest, find the measure of

PLEASE HELP Will Mark Brainliest Find The Measure Of class=

Sagot :

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]