Answer to Question #160004 in Geometry for Mayiee

Question

In ∆ SPY , points A and B are midpoints of SY and SP , respectively. If = ( a+ 7) units, = (3 + 3) units,PY and m∠SYP = (6a − 2)°

Answer 1

∆ SPY , points A and B are midpoints of SY and SP , respectively

$PY=(a+7)units, AB=(3+3)units,$

$m\angle SYP=(6a-2)\degree$

Then

$PY=2AB=2(3+3)=a+7$

$a=5$

$6(5)-2=28$

$m\angle SYP=28\degree$