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since
PQ parallel to RT,
then
angle PQR = angle QTR,. (alternative interior angle),
55° = b,
Now, In ∆PQR, using Angle Sum Property
angle P + angle Q + angle R = 180°,
c + 55° + 80° = 180°,
c + 135° = 180°,
then
c=180° - 135°,
c=45°
now
80° + b + a =180°,
80° + 55° + a=180°,
135° + a =180°,
then
a=180°-135°,
a=45°
PQ parallel to RT,
then
angle PQR = angle QTR,. (alternative interior angle),
55° = b,
Now, In ∆PQR, using Angle Sum Property
angle P + angle Q + angle R = 180°,
c + 55° + 80° = 180°,
c + 135° = 180°,
then
c=180° - 135°,
c=45°
now
80° + b + a =180°,
80° + 55° + a=180°,
135° + a =180°,
then
a=180°-135°,
a=45°
Answered by
2
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