Answer:
m<E = 105°
Explanation:
The ratio of the corresponding side lengths of ∆STU and ∆DEF are equal. That is:
.
According to similarly theorem, if two ∆s are similar, the ratio of their corresponding lengths would be the same. Therefore, ∆STU is similar to ∆DEF.
Since ∆STU ~ ∆DEF, their corresponding angles are congruent. That is:
<S ≅ <D, this means both are 29° each.
<T ≅ <E, this means they are both equal
<U ≅ <F. this means both are 46° each.
Thus:
m<E = 180 - (m<D + m<F) (sum of ∆)
m<E = 180 - (29 + 46) (substitution)
m<E = 180 - 75
m<E = 105°
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Cliffs are very heavy rocks and when there is too much weight it can cause cracks that weakens the structural integrity which can cause the cliff to either collapse or give way, falling on the ground below which can kill people crush cars or block roads. Hope this helps :)