Question

HI GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN IM SORRY ITS SO LATE

Answer 1

Answer:

100°

Step-by-step explanation:

• $In\:right\:\triangle GHI \:\&\: \triangle GJI$

• $\angle GHI\cong\angle GJI$ (Each 90° given)

• $Hypotenuse \:GI \cong\: Hypotenuse GI$ (Common side)

• $side\: GH\cong\:side GJ$ (Given)

• $\implies \triangle GHI\cong\triangle GJI$ (By HST postulate)

• $\implies \angle GIH \cong \angle GIJ$ (corresponding angles of congruent triangles or cact)

• $\implies m\angle GIH = m\angle GIJ$

• $\implies 2z = z+25\degree$

• $\implies 2z-z = 25\degree$

• $\implies \red{\bold{z = 25\degree}}$

• $m\angle HIJ =m\angle GIH +m\angle GIJ$ (By angle addition postulate)

• $\implies m\angle HIJ = (2z) + (z + 25\degree)$

• $\implies m\angle HIJ = 3z + 25\degree$

• $\implies m\angle HIJ = 3(25\degree) + 25\degree$

• $\implies m\angle HIJ = 3(25\degree) + 25\degree$

• $\implies m\angle HIJ = 75\degree+ 25\degree$

• $\implies\huge{\purple{\boxed{ m\angle HIJ =100\degree}}}$