Question #49be8

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Answer 1 · 2018-01-15T22:03:54

#80^@#, both

take the number as #x#:

angle #1: 2x+4#
angle #2: 3x-34#

the angles are congruent, meaning that they are equal in size.

#2x+4=3x-34#

subtract #2x# from both sides;

#4 = x-34#

#x-34 = 4#

add #34:#

#x = 38#

'the number' mentioned is #38#.

#2x+4 = (38*2)+4 = 76 + 4 = 80#

this means that one of the angles is #80^@#.

since the angles are congruent, the other angle is also #80^@#.