Respuesta :
The value of m in the angle (6m - 12)° is m = 17 , the correct option is (b) .
In the question ,
it is given that ,
the triangle WZY is cut by the bisector ZX ,
and also given that ZW and ZY are congruent ,
that means ZW = ZY
Based on the characteristics of the triangle given ,
we can conclude that triangle WYZ is an isosceles triangle ,
that means , triangle WXZ = triangle YXZ
So , ∠YXZ = ∠WXZ = 90°
given that ∠YXZ = (6m - 12)°
So , (6m - 12)° = 90°
6m - 12 = 90
6m = 90 + 12
6m = 102
m = 102/6
m = 17
Therefore , the value of m in the angle (6m - 12)° is m = 17 .
The given question is incomplete , the complete question is
Triangle W Z Y is cut by bisector Z X. The lengths of sides Z W and Z Y are congruent. ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
(a) 6
(b) 17
(c) 90
(d) 102
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Answer:
17
Step-by-step explanation:
i got it right on edge 2022
