Question

click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠ghi = 64° m∠ghj = 32° m∠ihj = 32° which of the following statements is true? answer 2(m∠ghj)=m∠ghi 2(m∠ghj)=m∠ihj m∠ghj = 1/2(m∠ihj) m∠ghj = 2(m∠ihj)

Explanation:

Step1: Identify given angle - measures

We are given that $m\angle GHI = 64^{\circ}$, $m\angle GHJ=32^{\circ}$ and $m\angle IHJ = 32^{\circ}$.

Step2: Check first option

Calculate $2(m\angle GHJ)$. Since $m\angle GHJ = 32^{\circ}$, then $2(m\angle GHJ)=2\times32^{\circ}=64^{\circ}$, and $m\angle GHI = 64^{\circ}$. So $2(m\angle GHJ)=m\angle GHI$.

Step3: Check second option

$2(m\angle GHJ)=2\times32^{\circ} = 64^{\circ}$, and $m\angle IHJ=32^{\circ}$, so $2(m\angle GHJ)
eq m\angle IHJ$.

Step4: Check third option

$m\angle GHJ = 32^{\circ}$ and $m\angle IHJ=32^{\circ}$, so $m\angle GHJ
eq\frac{1}{2}(m\angle IHJ)$.

Step5: Check fourth option

$m\angle GHJ = 32^{\circ}$ and $m\angle IHJ=32^{\circ}$, so $m\angle GHJ
eq2(m\angle IHJ)$.

Answer:

$2(m\angle GHJ)=m\angle GHI$