Question

Find x in each case plsplsplspls

Answer 1

`x=25.5^o`

Explanation:

`\angle RPQ+\angle SRP=180^o\ \ \ \ \mathrm{[Sum\ of\ cointerior\ angles\ is\ 180^o.]}\\\mathrm{or,\ } \angle RPQ+78^o=180^o\\\mathrm{\therefore}\ \ \angle RPQ=102^o\\\mathrm{In\ \triangle PRM,}\\\angle RMP +\angle PRM =\angle RPQ\ \ \ \ \mathrm{[An\ exterior\ angle\ of\ a\ triangle\ is\ equal\ to\ }\\\mathrm{the\ sum\ of\ opposite\ interior\ angles.]}\\\mathrm{or,\ }2x+x+x= 102^o\\\mathrm{or,\ }4x=102^o\\\mathrm{\therefore\ }x=25.5^o`