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2026 MIMC keystage2-EMIC team Question 8

xIMC · 2026 MIMC keystage2-EMIC team

Question 8

As shown in the diagram below, triangle $ABC$ is acute and $AH$ is the altitude from $A$ to side $BC$. Point $D$ lies on segment $AH$, where $\angle DBA=\angle DAC=20^\circ$ and $\angle DBC=10^\circ$. What is the measure, in degrees, of $\angle DCB$?

Question illustration