Question

19. A rectangular piece of paper measuring 8 inches by 16 inches is folded in half to form a square. It is then folded again along its diagonal to form a triangle. Find the measures of the angles of the triangle.

Answer 1

SOLUTION :

First gold results into a square.

Second fold along diagonal results into a right angle  isosceles triangle.

Hence angles of this triangle are  :  90º, 45º  and 45º  (ANSWER).

Answer 2

Please see attached solution

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& in 16in gin 8 in 810 А 8in C Bin Let 4 ABC formed AB= sin BC=8n uring pythagoras Hoosen AC² - Ao²+ BCL A² = (8)+(8) 2 = 64+64 Ac²=128 AC = 82 AB om tan LACB = BC tan LACB = 1

tan LACQ=1 tan (ALB = tan 45o = tently LACB = 45° = T1/4 tan (LCAB) = BC AB tan (LCAB) = Sinch Since ton QC AB) tan(LCAR) tonus-tantly LEAB = Illy so that measure of angle of a 9°, 45°, 45° L ABC = 90° LACA-450 Please lik il LEAB 450