# A convex hexagon has exterior angle measures, one at each vertex, of 30°, 2t–25°, 30°, 56°, 66°, and 3t–14°. What is the value of t?

##### 2 Answers

Feb 25, 2018

Sum of exterior angle for any polygon is always

-Sahar :)

Feb 25, 2018

#### Explanation:

#"the "color(blue)"sum of the exterior angles "=360^@#

#"sum the 6 exterior angles and equate to 360"#

#30+2t-25+30+56+66+3t-14=360#

#rArr5t+143=360#

#"subtract 143 from both sides"#

#5tcancel(+143)cancel(-143)=360-143#

#rArr5t=217#

#"divide both sides by 5"#

#(cancel(5) t)/cancel(5)=217/5#

#rArrt=217/5larrcolor(red)"exact value"#