Vocabulary consisting only from characters you are able to read
対頂角は等しい。
taichoukakuhahitoshii.
Opposite angles are equal.math
宿
yado
outcasts (those from Kamakura period to the Edo period, common around the Kyoto region); inn, lodgingmix
授賞
jushou
awarding a prizesuru
針路
shinro
course, direction, compass bearingmix
尽くす
tsukusu
(1)to exhaust, to run out, (2)to devote, to serve (a person), to befriend, (aux-v) (3)to do to exhaustion godan, verb
次第に
shidaini
(1)gradually (progress into a state), (2)in sequence, in order, in turn mix
改める
aratameru
(1)to change, to alter, to revise, to replace, (2)to reform, to correct, to mend, to improve, (3)to examine, to check, to inspect, (4)to do properly, to do formally ichidan, verb, vtrans