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X=18

Step-by-step explanation:

Pentagon = 540 degrees total

Find Known Angel total:

95+ 90= 185

subtract from 540:

540-185=355

add all unknown angles together:

(7x-4)+ (3x+23)+(9x-6)= 19x+13

set up equation and solve

19x+13=355

19x=355-13

19x= 342

x=342/19

x=18

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°