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Ierofanga [76]
3 years ago
8

What is the value of x with clear working out please?

Mathematics
2 answers:
slavikrds [6]3 years ago
6 0

let me add a bit more material, to the great reply above, which is absolutely correct.

we know that AB = AC, that means that triangle ABC is an isosceles and that its two angles at the "base" are congruent, namely the blue angles in the picture.

Since all flat-lines are 180°, then we know the angle to the left of point B is 180 - 44 - 23, and that angle is a corresponding angle with 67 + x.

nirvana33 [79]3 years ago
5 0

Answer:

Answer: <u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>6</u><u>°</u><u> </u>

Step-by-step explanation:

• Let's first find Angle ACB

{ \rm{ \angle ACB + 23 \degree + 90 \degree = 180 \degree}} \\  \\ { \rm{ \angle ACB = (180 - 90 - 23) \degree}} \\  \\ { \underline{ \rm{ \:  \angle ACB = 67 \degree}}}

• From alternative angles, x = Angle BAC.

• Since AB = AC, then Angle ABC = Angle ACB

{ \rm{x +  \angle ABC +  \angle ACB = 180 \degree}} \\  \\ { \rm{x + 67 \degree + 67 \degree = 180 \degree}} \\  \\ { \rm{x + 134 \degree = 180 \degree}} \\  \\ { \boxed{ \rm{x = 46 \degree}}}

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